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Finding the Third Proportional to 8,309,634 and 12,431,241

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Solution

The third proportional to 8,309,634 and 12,431,241 is: 18,597,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,634 : 12,431,241 = 12,431,241 : x
  2. Step 2: Convert to fraction form
    8,309,634/12,431,241 = 12,431,241/x
  3. Step 3: Cross multiply
    8,309,634x = 12,431,241 × 12,431,241
  4. Step 4: Simplify right side
    8,309,634x = 154,535,752,800,081
  5. Step 5: Solve for x
    x = 154,535,752,800,081/8,309,634
  6. Step 6: Final answer
    x = 18,597,179.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.