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Finding the Third Proportional to 31,981,486 and 49,127,474

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Solution

The third proportional to 31,981,486 and 49,127,474 is: 75,465,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,981,486 : 49,127,474 = 49,127,474 : x
  2. Step 2: Convert to fraction form
    31,981,486/49,127,474 = 49,127,474/x
  3. Step 3: Cross multiply
    31,981,486x = 49,127,474 × 49,127,474
  4. Step 4: Simplify right side
    31,981,486x = 2,413,508,701,620,676
  5. Step 5: Solve for x
    x = 2,413,508,701,620,676/31,981,486
  6. Step 6: Final answer
    x = 75,465,808.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.