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Finding the Third Proportional to 5,765,067 and 8,474,103

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Solution

The third proportional to 5,765,067 and 8,474,103 is: 12,456,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765,067 : 8,474,103 = 8,474,103 : x
  2. Step 2: Convert to fraction form
    5,765,067/8,474,103 = 8,474,103/x
  3. Step 3: Cross multiply
    5,765,067x = 8,474,103 × 8,474,103
  4. Step 4: Simplify right side
    5,765,067x = 71,810,421,654,609
  5. Step 5: Solve for x
    x = 71,810,421,654,609/5,765,067
  6. Step 6: Final answer
    x = 12,456,129.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.