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Finding the Third Proportional to 10,135,932 and 15,707,730

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Solution

The third proportional to 10,135,932 and 15,707,730 is: 24,342,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135,932 : 15,707,730 = 15,707,730 : x
  2. Step 2: Convert to fraction form
    10,135,932/15,707,730 = 15,707,730/x
  3. Step 3: Cross multiply
    10,135,932x = 15,707,730 × 15,707,730
  4. Step 4: Simplify right side
    10,135,932x = 246,732,781,752,900
  5. Step 5: Solve for x
    x = 246,732,781,752,900/10,135,932
  6. Step 6: Final answer
    x = 24,342,387.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.