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Finding the Third Proportional to 8,021,214 and 17,320,736

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Solution

The third proportional to 8,021,214 and 17,320,736 is: 37,401,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,214 : 17,320,736 = 17,320,736 : x
  2. Step 2: Convert to fraction form
    8,021,214/17,320,736 = 17,320,736/x
  3. Step 3: Cross multiply
    8,021,214x = 17,320,736 × 17,320,736
  4. Step 4: Simplify right side
    8,021,214x = 300,007,895,581,696
  5. Step 5: Solve for x
    x = 300,007,895,581,696/8,021,214
  6. Step 6: Final answer
    x = 37,401,806.71

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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.