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Finding the Third Proportional to 3,974,441 and 8,578,375

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Solution

The third proportional to 3,974,441 and 8,578,375 is: 18,515,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974,441 : 8,578,375 = 8,578,375 : x
  2. Step 2: Convert to fraction form
    3,974,441/8,578,375 = 8,578,375/x
  3. Step 3: Cross multiply
    3,974,441x = 8,578,375 × 8,578,375
  4. Step 4: Simplify right side
    3,974,441x = 73,588,517,640,625
  5. Step 5: Solve for x
    x = 73,588,517,640,625/3,974,441
  6. Step 6: Final answer
    x = 18,515,438.43

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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.