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Finding the Third Proportional to 8,021,204 and 17,320,716

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Solution

The third proportional to 8,021,204 and 17,320,716 is: 37,401,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,204 : 17,320,716 = 17,320,716 : x
  2. Step 2: Convert to fraction form
    8,021,204/17,320,716 = 17,320,716/x
  3. Step 3: Cross multiply
    8,021,204x = 17,320,716 × 17,320,716
  4. Step 4: Simplify right side
    8,021,204x = 300,007,202,752,656
  5. Step 5: Solve for x
    x = 300,007,202,752,656/8,021,204
  6. Step 6: Final answer
    x = 37,401,766.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.