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Finding the Third Proportional to 13,633,179 and 29,181,198

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Solution

The third proportional to 13,633,179 and 29,181,198 is: 62,461,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633,179 : 29,181,198 = 29,181,198 : x
  2. Step 2: Convert to fraction form
    13,633,179/29,181,198 = 29,181,198/x
  3. Step 3: Cross multiply
    13,633,179x = 29,181,198 × 29,181,198
  4. Step 4: Simplify right side
    13,633,179x = 851,542,316,715,204
  5. Step 5: Solve for x
    x = 851,542,316,715,204/13,633,179
  6. Step 6: Final answer
    x = 62,461,023.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.