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Finding the Third Proportional to 11,885,625 and 17,856,828

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Solution

The third proportional to 11,885,625 and 17,856,828 is: 26,827,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885,625 : 17,856,828 = 17,856,828 : x
  2. Step 2: Convert to fraction form
    11,885,625/17,856,828 = 17,856,828/x
  3. Step 3: Cross multiply
    11,885,625x = 17,856,828 × 17,856,828
  4. Step 4: Simplify right side
    11,885,625x = 318,866,306,221,584
  5. Step 5: Solve for x
    x = 318,866,306,221,584/11,885,625
  6. Step 6: Final answer
    x = 26,827,895.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.