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Finding the Third Proportional to 125,469,084 and 271,782,456

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Solution

The third proportional to 125,469,084 and 271,782,456 is: 588,716,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469,084 : 271,782,456 = 271,782,456 : x
  2. Step 2: Convert to fraction form
    125,469,084/271,782,456 = 271,782,456/x
  3. Step 3: Cross multiply
    125,469,084x = 271,782,456 × 271,782,456
  4. Step 4: Simplify right side
    125,469,084x = 73,865,703,389,391,936
  5. Step 5: Solve for x
    x = 73,865,703,389,391,936/125,469,084
  6. Step 6: Final answer
    x = 588,716,367.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.