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Finding the Third Proportional to 8,021,585 and 17,513,107

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Solution

The third proportional to 8,021,585 and 17,513,107 is: 38,235,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,585 : 17,513,107 = 17,513,107 : x
  2. Step 2: Convert to fraction form
    8,021,585/17,513,107 = 17,513,107/x
  3. Step 3: Cross multiply
    8,021,585x = 17,513,107 × 17,513,107
  4. Step 4: Simplify right side
    8,021,585x = 306,708,916,793,449
  5. Step 5: Solve for x
    x = 306,708,916,793,449/8,021,585
  6. Step 6: Final answer
    x = 38,235,450.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.