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Finding the Third Proportional to 31,900,711 and 49,491,377

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Solution

The third proportional to 31,900,711 and 49,491,377 is: 76,781,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,711 : 49,491,377 = 49,491,377 : x
  2. Step 2: Convert to fraction form
    31,900,711/49,491,377 = 49,491,377/x
  3. Step 3: Cross multiply
    31,900,711x = 49,491,377 × 49,491,377
  4. Step 4: Simplify right side
    31,900,711x = 2,449,396,397,356,129
  5. Step 5: Solve for x
    x = 2,449,396,397,356,129/31,900,711
  6. Step 6: Final answer
    x = 76,781,874.78

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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.