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Finding the Third Proportional to 9,699,727 and 13,486,695

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Solution

The third proportional to 9,699,727 and 13,486,695 is: 18,752,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699,727 : 13,486,695 = 13,486,695 : x
  2. Step 2: Convert to fraction form
    9,699,727/13,486,695 = 13,486,695/x
  3. Step 3: Cross multiply
    9,699,727x = 13,486,695 × 13,486,695
  4. Step 4: Simplify right side
    9,699,727x = 181,890,942,023,025
  5. Step 5: Solve for x
    x = 181,890,942,023,025/9,699,727
  6. Step 6: Final answer
    x = 18,752,171.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.