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Finding the Third Proportional to 314,561,515.50 and 471,842,334

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Solution

The third proportional to 314,561,515.50 and 471,842,334 is: 707,763,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,561,515.50 : 471,842,334 = 471,842,334 : x
  2. Step 2: Convert to fraction form
    314,561,515.50/471,842,334 = 471,842,334/x
  3. Step 3: Cross multiply
    314,561,515.50x = 471,842,334 × 471,842,334
  4. Step 4: Simplify right side
    314,561,515.50x = 222,635,188,154,567,552
  5. Step 5: Solve for x
    x = 222,635,188,154,567,552/314,561,515.50
  6. Step 6: Final answer
    x = 707,763,592.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.