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Finding the Third Proportional to 8,633,565 and 18,573,589.13

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Solution

The third proportional to 8,633,565 and 18,573,589.13 is: 39,957,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633,565 : 18,573,589.13 = 18,573,589.13 : x
  2. Step 2: Convert to fraction form
    8,633,565/18,573,589.13 = 18,573,589.13/x
  3. Step 3: Cross multiply
    8,633,565x = 18,573,589.13 × 18,573,589.13
  4. Step 4: Simplify right side
    8,633,565x = 344,978,212,984,318.25
  5. Step 5: Solve for x
    x = 344,978,212,984,318.25/8,633,565
  6. Step 6: Final answer
    x = 39,957,794.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.