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Finding the Third Proportional to 3,747,249 and 8,172,175

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Solution

The third proportional to 3,747,249 and 8,172,175 is: 17,822,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,249 : 8,172,175 = 8,172,175 : x
  2. Step 2: Convert to fraction form
    3,747,249/8,172,175 = 8,172,175/x
  3. Step 3: Cross multiply
    3,747,249x = 8,172,175 × 8,172,175
  4. Step 4: Simplify right side
    3,747,249x = 66,784,444,230,625
  5. Step 5: Solve for x
    x = 66,784,444,230,625/3,747,249
  6. Step 6: Final answer
    x = 17,822,259.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.