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Finding the Third Proportional to 29,377,109 and 61,138,550

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Solution

The third proportional to 29,377,109 and 61,138,550 is: 127,239,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,377,109 : 61,138,550 = 61,138,550 : x
  2. Step 2: Convert to fraction form
    29,377,109/61,138,550 = 61,138,550/x
  3. Step 3: Cross multiply
    29,377,109x = 61,138,550 × 61,138,550
  4. Step 4: Simplify right side
    29,377,109x = 3,737,922,296,102,500
  5. Step 5: Solve for x
    x = 3,737,922,296,102,500/29,377,109
  6. Step 6: Final answer
    x = 127,239,283.35

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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.