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Finding the Third Proportional to 3,669,496 and 8,290,327

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Solution

The third proportional to 3,669,496 and 8,290,327 is: 18,729,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,496 : 8,290,327 = 8,290,327 : x
  2. Step 2: Convert to fraction form
    3,669,496/8,290,327 = 8,290,327/x
  3. Step 3: Cross multiply
    3,669,496x = 8,290,327 × 8,290,327
  4. Step 4: Simplify right side
    3,669,496x = 68,729,521,766,929
  5. Step 5: Solve for x
    x = 68,729,521,766,929/3,669,496
  6. Step 6: Final answer
    x = 18,729,962.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.