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Finding the Third Proportional to 3,829,832 and 8,297,936

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Solution

The third proportional to 3,829,832 and 8,297,936 is: 17,978,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,832 : 8,297,936 = 8,297,936 : x
  2. Step 2: Convert to fraction form
    3,829,832/8,297,936 = 8,297,936/x
  3. Step 3: Cross multiply
    3,829,832x = 8,297,936 × 8,297,936
  4. Step 4: Simplify right side
    3,829,832x = 68,855,741,860,096
  5. Step 5: Solve for x
    x = 68,855,741,860,096/3,829,832
  6. Step 6: Final answer
    x = 17,978,789.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.