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Finding the Third Proportional to 2,711,947.50 and 3,683,161.13

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Solution

The third proportional to 2,711,947.50 and 3,683,161.13 is: 5,002,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,947.50 : 3,683,161.13 = 3,683,161.13 : x
  2. Step 2: Convert to fraction form
    2,711,947.50/3,683,161.13 = 3,683,161.13/x
  3. Step 3: Cross multiply
    2,711,947.50x = 3,683,161.13 × 3,683,161.13
  4. Step 4: Simplify right side
    2,711,947.50x = 13,565,675,872,711.27
  5. Step 5: Solve for x
    x = 13,565,675,872,711.27/2,711,947.50
  6. Step 6: Final answer
    x = 5,002,189.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.