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Finding the Third Proportional to 31,981,776 and 49,127,928

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Solution

The third proportional to 31,981,776 and 49,127,928 is: 75,466,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,981,776 : 49,127,928 = 49,127,928 : x
  2. Step 2: Convert to fraction form
    31,981,776/49,127,928 = 49,127,928/x
  3. Step 3: Cross multiply
    31,981,776x = 49,127,928 × 49,127,928
  4. Step 4: Simplify right side
    31,981,776x = 2,413,553,309,573,184
  5. Step 5: Solve for x
    x = 2,413,553,309,573,184/31,981,776
  6. Step 6: Final answer
    x = 75,466,519.11

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