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Finding the Third Proportional to 126,766,363 and 277,834,670

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Solution

The third proportional to 126,766,363 and 277,834,670 is: 608,932,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,766,363 : 277,834,670 = 277,834,670 : x
  2. Step 2: Convert to fraction form
    126,766,363/277,834,670 = 277,834,670/x
  3. Step 3: Cross multiply
    126,766,363x = 277,834,670 × 277,834,670
  4. Step 4: Simplify right side
    126,766,363x = 77,192,103,854,008,896
  5. Step 5: Solve for x
    x = 77,192,103,854,008,896/126,766,363
  6. Step 6: Final answer
    x = 608,932,070.21

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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.