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Finding the Third Proportional to 8,491,434 and 17,770,188

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Solution

The third proportional to 8,491,434 and 17,770,188 is: 37,188,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491,434 : 17,770,188 = 17,770,188 : x
  2. Step 2: Convert to fraction form
    8,491,434/17,770,188 = 17,770,188/x
  3. Step 3: Cross multiply
    8,491,434x = 17,770,188 × 17,770,188
  4. Step 4: Simplify right side
    8,491,434x = 315,779,581,555,344
  5. Step 5: Solve for x
    x = 315,779,581,555,344/8,491,434
  6. Step 6: Final answer
    x = 37,188,015.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.