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Finding the Third Proportional to 3,178,204 and 6,950,592

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Solution

The third proportional to 3,178,204 and 6,950,592 is: 15,200,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,204 : 6,950,592 = 6,950,592 : x
  2. Step 2: Convert to fraction form
    3,178,204/6,950,592 = 6,950,592/x
  3. Step 3: Cross multiply
    3,178,204x = 6,950,592 × 6,950,592
  4. Step 4: Simplify right side
    3,178,204x = 48,310,729,150,464
  5. Step 5: Solve for x
    x = 48,310,729,150,464/3,178,204
  6. Step 6: Final answer
    x = 15,200,638.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.