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Finding the Third Proportional to 31,067,775 and 46,601,667

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Solution

The third proportional to 31,067,775 and 46,601,667 is: 69,902,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067,775 : 46,601,667 = 46,601,667 : x
  2. Step 2: Convert to fraction form
    31,067,775/46,601,667 = 46,601,667/x
  3. Step 3: Cross multiply
    31,067,775x = 46,601,667 × 46,601,667
  4. Step 4: Simplify right side
    31,067,775x = 2,171,715,367,178,889
  5. Step 5: Solve for x
    x = 2,171,715,367,178,889/31,067,775
  6. Step 6: Final answer
    x = 69,902,507.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.