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Finding the Third Proportional to 126,766,366 and 277,834,676

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Solution

The third proportional to 126,766,366 and 277,834,676 is: 608,932,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,766,366 : 277,834,676 = 277,834,676 : x
  2. Step 2: Convert to fraction form
    126,766,366/277,834,676 = 277,834,676/x
  3. Step 3: Cross multiply
    126,766,366x = 277,834,676 × 277,834,676
  4. Step 4: Simplify right side
    126,766,366x = 77,192,107,188,024,976
  5. Step 5: Solve for x
    x = 77,192,107,188,024,976/126,766,366
  6. Step 6: Final answer
    x = 608,932,082.10

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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.