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Finding the Third Proportional to 31,111,431.75 and 44,817,067.13

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Solution

The third proportional to 31,111,431.75 and 44,817,067.13 is: 64,560,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111,431.75 : 44,817,067.13 = 44,817,067.13 : x
  2. Step 2: Convert to fraction form
    31,111,431.75/44,817,067.13 = 44,817,067.13/x
  3. Step 3: Cross multiply
    31,111,431.75x = 44,817,067.13 × 44,817,067.13
  4. Step 4: Simplify right side
    31,111,431.75x = 2,008,569,505,686,755.75
  5. Step 5: Solve for x
    x = 2,008,569,505,686,755.75/31,111,431.75
  6. Step 6: Final answer
    x = 64,560,497.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.