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Finding the Third Proportional to 3,816,909.50 and 8,231,646

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Solution

The third proportional to 3,816,909.50 and 8,231,646 is: 17,752,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816,909.50 : 8,231,646 = 8,231,646 : x
  2. Step 2: Convert to fraction form
    3,816,909.50/8,231,646 = 8,231,646/x
  3. Step 3: Cross multiply
    3,816,909.50x = 8,231,646 × 8,231,646
  4. Step 4: Simplify right side
    3,816,909.50x = 67,759,995,869,316
  5. Step 5: Solve for x
    x = 67,759,995,869,316/3,816,909.50
  6. Step 6: Final answer
    x = 17,752,581.21

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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.