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To determine how many milliliters (ml) of Penicillin G you should administer based on the given order, follow these steps:
1. Understand the order and available concentration:
- The order is to administer 1.2 million units of Penicillin G daily.
- The available Penicillin G has a concentration of 9 million units per 1 ml.
2. Set up the proportion:
- We need to find out how many ml correspond to 1.2 million units if 9 million units are equal to 1 ml.
3. Calculate the required volume:
- We can set up the proportion as follows:
[tex]\[ \text{{required ml}} = \frac{{\text{{daily dose in units}}}}{{\text{{available units per ml}}}} \][/tex]
- Substitute the given values:
[tex]\[ \text{{required ml}} = \frac{{1,200,000 \text{ units}}}{{9,000,000 \text{ units per ml}}} \][/tex]
4. Perform the division:
- When you divide 1,200,000 units by 9,000,000 units per ml:
[tex]\[ \text{{required ml}} = 0.13333333333333333 \text{ ml} \][/tex]
Therefore, in order to administer 1.2 million units of Penicillin G, you will need to give [tex]\( 0.1333 \)[/tex] ml (rounded to four decimal places).
1. Understand the order and available concentration:
- The order is to administer 1.2 million units of Penicillin G daily.
- The available Penicillin G has a concentration of 9 million units per 1 ml.
2. Set up the proportion:
- We need to find out how many ml correspond to 1.2 million units if 9 million units are equal to 1 ml.
3. Calculate the required volume:
- We can set up the proportion as follows:
[tex]\[ \text{{required ml}} = \frac{{\text{{daily dose in units}}}}{{\text{{available units per ml}}}} \][/tex]
- Substitute the given values:
[tex]\[ \text{{required ml}} = \frac{{1,200,000 \text{ units}}}{{9,000,000 \text{ units per ml}}} \][/tex]
4. Perform the division:
- When you divide 1,200,000 units by 9,000,000 units per ml:
[tex]\[ \text{{required ml}} = 0.13333333333333333 \text{ ml} \][/tex]
Therefore, in order to administer 1.2 million units of Penicillin G, you will need to give [tex]\( 0.1333 \)[/tex] ml (rounded to four decimal places).
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