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Finding the Third Proportional to 31,900,713 and 49,491,379.50

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Solution

The third proportional to 31,900,713 and 49,491,379.50 is: 76,781,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,713 : 49,491,379.50 = 49,491,379.50 : x
  2. Step 2: Convert to fraction form
    31,900,713/49,491,379.50 = 49,491,379.50/x
  3. Step 3: Cross multiply
    31,900,713x = 49,491,379.50 × 49,491,379.50
  4. Step 4: Simplify right side
    31,900,713x = 2,449,396,644,813,020
  5. Step 5: Solve for x
    x = 2,449,396,644,813,020/31,900,713
  6. Step 6: Final answer
    x = 76,781,877.72

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