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Finding the Third Proportional to 3,536,976 and 7,204,017

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Solution

The third proportional to 3,536,976 and 7,204,017 is: 14,672,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536,976 : 7,204,017 = 7,204,017 : x
  2. Step 2: Convert to fraction form
    3,536,976/7,204,017 = 7,204,017/x
  3. Step 3: Cross multiply
    3,536,976x = 7,204,017 × 7,204,017
  4. Step 4: Simplify right side
    3,536,976x = 51,897,860,936,289
  5. Step 5: Solve for x
    x = 51,897,860,936,289/3,536,976
  6. Step 6: Final answer
    x = 14,672,946.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.