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Finding the Third Proportional to 8,491,426 and 17,770,172

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Solution

The third proportional to 8,491,426 and 17,770,172 is: 37,187,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491,426 : 17,770,172 = 17,770,172 : x
  2. Step 2: Convert to fraction form
    8,491,426/17,770,172 = 17,770,172/x
  3. Step 3: Cross multiply
    8,491,426x = 17,770,172 × 17,770,172
  4. Step 4: Simplify right side
    8,491,426x = 315,779,012,909,584
  5. Step 5: Solve for x
    x = 315,779,012,909,584/8,491,426
  6. Step 6: Final answer
    x = 37,187,983.85

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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.