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Finding the Third Proportional to 4,147,524 and 9,022,100

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Solution

The third proportional to 4,147,524 and 9,022,100 is: 19,625,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,524 : 9,022,100 = 9,022,100 : x
  2. Step 2: Convert to fraction form
    4,147,524/9,022,100 = 9,022,100/x
  3. Step 3: Cross multiply
    4,147,524x = 9,022,100 × 9,022,100
  4. Step 4: Simplify right side
    4,147,524x = 81,398,288,410,000
  5. Step 5: Solve for x
    x = 81,398,288,410,000/4,147,524
  6. Step 6: Final answer
    x = 19,625,754.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.