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Finding the Third Proportional to 3,940,647 and 8,489,198

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Solution

The third proportional to 3,940,647 and 8,489,198 is: 18,287,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,647 : 8,489,198 = 8,489,198 : x
  2. Step 2: Convert to fraction form
    3,940,647/8,489,198 = 8,489,198/x
  3. Step 3: Cross multiply
    3,940,647x = 8,489,198 × 8,489,198
  4. Step 4: Simplify right side
    3,940,647x = 72,066,482,683,204
  5. Step 5: Solve for x
    x = 72,066,482,683,204/3,940,647
  6. Step 6: Final answer
    x = 18,287,982.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.