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Finding the Third Proportional to 3,785,086.69 and 8,327,148.19

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Solution

The third proportional to 3,785,086.69 and 8,327,148.19 is: 18,319,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,086.69 : 8,327,148.19 = 8,327,148.19 : x
  2. Step 2: Convert to fraction form
    3,785,086.69/8,327,148.19 = 8,327,148.19/x
  3. Step 3: Cross multiply
    3,785,086.69x = 8,327,148.19 × 8,327,148.19
  4. Step 4: Simplify right side
    3,785,086.69x = 69,341,396,936,584.53
  5. Step 5: Solve for x
    x = 69,341,396,936,584.53/3,785,086.69
  6. Step 6: Final answer
    x = 18,319,632.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.