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Finding the Third Proportional to 3,781,338 and 8,297,387

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Solution

The third proportional to 3,781,338 and 8,297,387 is: 18,206,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,338 : 8,297,387 = 8,297,387 : x
  2. Step 2: Convert to fraction form
    3,781,338/8,297,387 = 8,297,387/x
  3. Step 3: Cross multiply
    3,781,338x = 8,297,387 × 8,297,387
  4. Step 4: Simplify right side
    3,781,338x = 68,846,631,027,769
  5. Step 5: Solve for x
    x = 68,846,631,027,769/3,781,338
  6. Step 6: Final answer
    x = 18,206,949.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.