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Finding the Third Proportional to 31,984,321.50 and 49,131,424.13

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Solution

The third proportional to 31,984,321.50 and 49,131,424.13 is: 75,471,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,321.50 : 49,131,424.13 = 49,131,424.13 : x
  2. Step 2: Convert to fraction form
    31,984,321.50/49,131,424.13 = 49,131,424.13/x
  3. Step 3: Cross multiply
    31,984,321.50x = 49,131,424.13 × 49,131,424.13
  4. Step 4: Simplify right side
    31,984,321.50x = 2,413,896,836,550,632
  5. Step 5: Solve for x
    x = 2,413,896,836,550,632/31,984,321.50
  6. Step 6: Final answer
    x = 75,471,253.52

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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.