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Finding the Third Proportional to 31,067,761 and 46,601,646

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Solution

The third proportional to 31,067,761 and 46,601,646 is: 69,902,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067,761 : 46,601,646 = 46,601,646 : x
  2. Step 2: Convert to fraction form
    31,067,761/46,601,646 = 46,601,646/x
  3. Step 3: Cross multiply
    31,067,761x = 46,601,646 × 46,601,646
  4. Step 4: Simplify right side
    31,067,761x = 2,171,713,409,909,316
  5. Step 5: Solve for x
    x = 2,171,713,409,909,316/31,067,761
  6. Step 6: Final answer
    x = 69,902,475.75

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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.