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Finding the Third Proportional to 13,633,180 and 29,181,200

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Solution

The third proportional to 13,633,180 and 29,181,200 is: 62,461,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633,180 : 29,181,200 = 29,181,200 : x
  2. Step 2: Convert to fraction form
    13,633,180/29,181,200 = 29,181,200/x
  3. Step 3: Cross multiply
    13,633,180x = 29,181,200 × 29,181,200
  4. Step 4: Simplify right side
    13,633,180x = 851,542,433,440,000
  5. Step 5: Solve for x
    x = 851,542,433,440,000/13,633,180
  6. Step 6: Final answer
    x = 62,461,027.69

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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.