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Finding the Third Proportional to 5,992,624 and 13,206,802

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Solution

The third proportional to 5,992,624 and 13,206,802 is: 29,105,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,624 : 13,206,802 = 13,206,802 : x
  2. Step 2: Convert to fraction form
    5,992,624/13,206,802 = 13,206,802/x
  3. Step 3: Cross multiply
    5,992,624x = 13,206,802 × 13,206,802
  4. Step 4: Simplify right side
    5,992,624x = 174,419,619,067,204
  5. Step 5: Solve for x
    x = 174,419,619,067,204/5,992,624
  6. Step 6: Final answer
    x = 29,105,717.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.