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Finding the Third Proportional to 3,904,832 and 8,441,329

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Solution

The third proportional to 3,904,832 and 8,441,329 is: 18,248,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904,832 : 8,441,329 = 8,441,329 : x
  2. Step 2: Convert to fraction form
    3,904,832/8,441,329 = 8,441,329/x
  3. Step 3: Cross multiply
    3,904,832x = 8,441,329 × 8,441,329
  4. Step 4: Simplify right side
    3,904,832x = 71,256,035,286,241
  5. Step 5: Solve for x
    x = 71,256,035,286,241/3,904,832
  6. Step 6: Final answer
    x = 18,248,169.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.