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The product of two number is 13.3194. ...

The product of two number is `13.3194.` If one of the numbers is `5.62,` find the other number.

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To find the other number when the product of two numbers is given, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the given values**: - The product of two numbers is \( 13.3194 \). - One of the numbers is \( 5.62 \). 2. **Set up the equation**: - Let the unknown number be \( A \). - We know that \( A \times 5.62 = 13.3194 \). 3. **Rearrange the equation to solve for \( A \)**: - To find \( A \), we can rearrange the equation: \[ A = \frac{13.3194}{5.62} \] 4. **Perform the division**: - To simplify the division, we can eliminate the decimals. - The number \( 13.3194 \) has 4 digits after the decimal point, and \( 5.62 \) has 2 digits after the decimal point. - Therefore, we can multiply both the numerator and the denominator by \( 10000 \) (to eliminate decimals from \( 13.3194 \)) and \( 100 \) (to eliminate decimals from \( 5.62 \)): \[ A = \frac{13.3194 \times 100}{5.62 \times 10000} \] - This simplifies to: \[ A = \frac{133194}{562} \] 5. **Calculate \( A \)**: - Now, we divide \( 133194 \) by \( 562 \): \[ A = 237 \] 6. **Adjust for decimal places**: - Since we multiplied by \( 100 \) to eliminate decimals, we need to divide the result by \( 100 \): \[ A = \frac{237}{100} = 2.37 \] 7. **Final answer**: - The other number is \( 2.37 \). ### Summary of the Solution: The other number is \( 2.37 \).
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