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Finding the Third Proportional to 3,466,600 and 7,729,814

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Solution

The third proportional to 3,466,600 and 7,729,814 is: 17,235,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466,600 : 7,729,814 = 7,729,814 : x
  2. Step 2: Convert to fraction form
    3,466,600/7,729,814 = 7,729,814/x
  3. Step 3: Cross multiply
    3,466,600x = 7,729,814 × 7,729,814
  4. Step 4: Simplify right side
    3,466,600x = 59,750,024,474,596
  5. Step 5: Solve for x
    x = 59,750,024,474,596/3,466,600
  6. Step 6: Final answer
    x = 17,235,915.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.