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Finding the Third Proportional to 8,179,108 and 17,204,339

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Solution

The third proportional to 8,179,108 and 17,204,339 is: 36,188,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179,108 : 17,204,339 = 17,204,339 : x
  2. Step 2: Convert to fraction form
    8,179,108/17,204,339 = 17,204,339/x
  3. Step 3: Cross multiply
    8,179,108x = 17,204,339 × 17,204,339
  4. Step 4: Simplify right side
    8,179,108x = 295,989,280,426,921
  5. Step 5: Solve for x
    x = 295,989,280,426,921/8,179,108
  6. Step 6: Final answer
    x = 36,188,454.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.