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Finding the Third Proportional to 31,543,764 and 68,132,088

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Solution

The third proportional to 31,543,764 and 68,132,088 is: 147,160,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543,764 : 68,132,088 = 68,132,088 : x
  2. Step 2: Convert to fraction form
    31,543,764/68,132,088 = 68,132,088/x
  3. Step 3: Cross multiply
    31,543,764x = 68,132,088 × 68,132,088
  4. Step 4: Simplify right side
    31,543,764x = 4,641,981,415,239,744
  5. Step 5: Solve for x
    x = 4,641,981,415,239,744/31,543,764
  6. Step 6: Final answer
    x = 147,160,035.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.