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Finding the Third Proportional to 31,900,710.50 and 49,491,376

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Solution

The third proportional to 31,900,710.50 and 49,491,376 is: 76,781,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,710.50 : 49,491,376 = 49,491,376 : x
  2. Step 2: Convert to fraction form
    31,900,710.50/49,491,376 = 49,491,376/x
  3. Step 3: Cross multiply
    31,900,710.50x = 49,491,376 × 49,491,376
  4. Step 4: Simplify right side
    31,900,710.50x = 2,449,396,298,373,376
  5. Step 5: Solve for x
    x = 2,449,396,298,373,376/31,900,710.50
  6. Step 6: Final answer
    x = 76,781,872.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.