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Finding the Third Proportional to 3,940,524 and 8,511,000

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Solution

The third proportional to 3,940,524 and 8,511,000 is: 18,382,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,524 : 8,511,000 = 8,511,000 : x
  2. Step 2: Convert to fraction form
    3,940,524/8,511,000 = 8,511,000/x
  3. Step 3: Cross multiply
    3,940,524x = 8,511,000 × 8,511,000
  4. Step 4: Simplify right side
    3,940,524x = 72,437,121,000,000
  5. Step 5: Solve for x
    x = 72,437,121,000,000/3,940,524
  6. Step 6: Final answer
    x = 18,382,611.30

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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.