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Finding the Third Proportional to 31,517,124 and 67,741,832

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Solution

The third proportional to 31,517,124 and 67,741,832 is: 145,601,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517,124 : 67,741,832 = 67,741,832 : x
  2. Step 2: Convert to fraction form
    31,517,124/67,741,832 = 67,741,832/x
  3. Step 3: Cross multiply
    31,517,124x = 67,741,832 × 67,741,832
  4. Step 4: Simplify right side
    31,517,124x = 4,588,955,802,716,224
  5. Step 5: Solve for x
    x = 4,588,955,802,716,224/31,517,124
  6. Step 6: Final answer
    x = 145,601,984.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.