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Finding the Third Proportional to 16,206,221.25 and 24,720,822

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Solution

The third proportional to 16,206,221.25 and 24,720,822 is: 37,708,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206,221.25 : 24,720,822 = 24,720,822 : x
  2. Step 2: Convert to fraction form
    16,206,221.25/24,720,822 = 24,720,822/x
  3. Step 3: Cross multiply
    16,206,221.25x = 24,720,822 × 24,720,822
  4. Step 4: Simplify right side
    16,206,221.25x = 611,119,040,355,684
  5. Step 5: Solve for x
    x = 611,119,040,355,684/16,206,221.25
  6. Step 6: Final answer
    x = 37,708,916.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.