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Finding the Third Proportional to 5,981,571 and 8,970,162.75

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Solution

The third proportional to 5,981,571 and 8,970,162.75 is: 13,451,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981,571 : 8,970,162.75 = 8,970,162.75 : x
  2. Step 2: Convert to fraction form
    5,981,571/8,970,162.75 = 8,970,162.75/x
  3. Step 3: Cross multiply
    5,981,571x = 8,970,162.75 × 8,970,162.75
  4. Step 4: Simplify right side
    5,981,571x = 80,463,819,761,487.56
  5. Step 5: Solve for x
    x = 80,463,819,761,487.56/5,981,571
  6. Step 6: Final answer
    x = 13,451,954.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.