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Finding the Third Proportional to 6,198,721 and 14,475,067

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Solution

The third proportional to 6,198,721 and 14,475,067 is: 33,801,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,721 : 14,475,067 = 14,475,067 : x
  2. Step 2: Convert to fraction form
    6,198,721/14,475,067 = 14,475,067/x
  3. Step 3: Cross multiply
    6,198,721x = 14,475,067 × 14,475,067
  4. Step 4: Simplify right side
    6,198,721x = 209,527,564,654,489
  5. Step 5: Solve for x
    x = 209,527,564,654,489/6,198,721
  6. Step 6: Final answer
    x = 33,801,741.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.