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Finding the Third Proportional to 29,377,105 and 61,138,542

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Solution

The third proportional to 29,377,105 and 61,138,542 is: 127,239,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,377,105 : 61,138,542 = 61,138,542 : x
  2. Step 2: Convert to fraction form
    29,377,105/61,138,542 = 61,138,542/x
  3. Step 3: Cross multiply
    29,377,105x = 61,138,542 × 61,138,542
  4. Step 4: Simplify right side
    29,377,105x = 3,737,921,317,885,764
  5. Step 5: Solve for x
    x = 3,737,921,317,885,764/29,377,105
  6. Step 6: Final answer
    x = 127,239,267.38

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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.