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Finding the Third Proportional to 125,469,086 and 271,782,466

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Solution

The third proportional to 125,469,086 and 271,782,466 is: 588,716,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469,086 : 271,782,466 = 271,782,466 : x
  2. Step 2: Convert to fraction form
    125,469,086/271,782,466 = 271,782,466/x
  3. Step 3: Cross multiply
    125,469,086x = 271,782,466 × 271,782,466
  4. Step 4: Simplify right side
    125,469,086x = 73,865,708,825,041,152
  5. Step 5: Solve for x
    x = 73,865,708,825,041,152/125,469,086
  6. Step 6: Final answer
    x = 588,716,401.62

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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.