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Finding the Third Proportional to 41,992,170 and 65,199,133

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Solution

The third proportional to 41,992,170 and 65,199,133 is: 101,231,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,992,170 : 65,199,133 = 65,199,133 : x
  2. Step 2: Convert to fraction form
    41,992,170/65,199,133 = 65,199,133/x
  3. Step 3: Cross multiply
    41,992,170x = 65,199,133 × 65,199,133
  4. Step 4: Simplify right side
    41,992,170x = 4,250,926,943,951,689
  5. Step 5: Solve for x
    x = 4,250,926,943,951,689/41,992,170
  6. Step 6: Final answer
    x = 101,231,418.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.