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Finding the Third Proportional to 7,491,422 and 16,441,015

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Solution

The third proportional to 7,491,422 and 16,441,015 is: 36,082,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491,422 : 16,441,015 = 16,441,015 : x
  2. Step 2: Convert to fraction form
    7,491,422/16,441,015 = 16,441,015/x
  3. Step 3: Cross multiply
    7,491,422x = 16,441,015 × 16,441,015
  4. Step 4: Simplify right side
    7,491,422x = 270,306,974,230,225
  5. Step 5: Solve for x
    x = 270,306,974,230,225/7,491,422
  6. Step 6: Final answer
    x = 36,082,198.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.