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Finding the Third Proportional to 126,766,361 and 277,834,666

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Solution

The third proportional to 126,766,361 and 277,834,666 is: 608,932,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,766,361 : 277,834,666 = 277,834,666 : x
  2. Step 2: Convert to fraction form
    126,766,361/277,834,666 = 277,834,666/x
  3. Step 3: Cross multiply
    126,766,361x = 277,834,666 × 277,834,666
  4. Step 4: Simplify right side
    126,766,361x = 77,192,101,631,331,552
  5. Step 5: Solve for x
    x = 77,192,101,631,331,552/126,766,361
  6. Step 6: Final answer
    x = 608,932,062.28

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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.