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Finding the Third Proportional to 3,976,500 and 8,661,566

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Solution

The third proportional to 3,976,500 and 8,661,566 is: 18,866,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976,500 : 8,661,566 = 8,661,566 : x
  2. Step 2: Convert to fraction form
    3,976,500/8,661,566 = 8,661,566/x
  3. Step 3: Cross multiply
    3,976,500x = 8,661,566 × 8,661,566
  4. Step 4: Simplify right side
    3,976,500x = 75,022,725,572,356
  5. Step 5: Solve for x
    x = 75,022,725,572,356/3,976,500
  6. Step 6: Final answer
    x = 18,866,522.21

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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.