Finding the Third Proportional to 239,924,854,215 and 499,708,147,491
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Solution
The third proportional to 239,924,854,215 and 499,708,147,491 is: 1,040,776,844,424.46
Step by Step Solution
- Step 1: Write the proportion equation
239,924,854,215 : 499,708,147,491 = 499,708,147,491 : x - Step 2: Convert to fraction form
239,924,854,215/499,708,147,491 = 499,708,147,491/x - Step 3: Cross multiply
239,924,854,215x = 499,708,147,491 × 499,708,147,491 - Step 4: Simplify right side
239,924,854,215x = 249,708,232,668,886,998,188,032 - Step 5: Solve for x
x = 249,708,232,668,886,998,188,032/239,924,854,215 - Step 6: Final answer
x = 1,040,776,844,424.46
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.