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Finding the Third Proportional to 31,056,399.75 and 67,288,566.47

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Solution

The third proportional to 31,056,399.75 and 67,288,566.47 is: 145,791,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056,399.75 : 67,288,566.47 = 67,288,566.47 : x
  2. Step 2: Convert to fraction form
    31,056,399.75/67,288,566.47 = 67,288,566.47/x
  3. Step 3: Cross multiply
    31,056,399.75x = 67,288,566.47 × 67,288,566.47
  4. Step 4: Simplify right side
    31,056,399.75x = 4,527,751,177,419,387
  5. Step 5: Solve for x
    x = 4,527,751,177,419,387/31,056,399.75
  6. Step 6: Final answer
    x = 145,791,244.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.