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Finding the Third Proportional to 322,577,910 and 707,861,448

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Solution

The third proportional to 322,577,910 and 707,861,448 is: 1,553,323,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,577,910 : 707,861,448 = 707,861,448 : x
  2. Step 2: Convert to fraction form
    322,577,910/707,861,448 = 707,861,448/x
  3. Step 3: Cross multiply
    322,577,910x = 707,861,448 × 707,861,448
  4. Step 4: Simplify right side
    322,577,910x = 501,067,829,564,656,704
  5. Step 5: Solve for x
    x = 501,067,829,564,656,704/322,577,910
  6. Step 6: Final answer
    x = 1,553,323,442.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.