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Finding the Third Proportional to 31,375,622,069.25 and 67,227,388,656

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Solution

The third proportional to 31,375,622,069.25 and 67,227,388,656 is: 144,045,647,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375,622,069.25 : 67,227,388,656 = 67,227,388,656 : x
  2. Step 2: Convert to fraction form
    31,375,622,069.25/67,227,388,656 = 67,227,388,656/x
  3. Step 3: Cross multiply
    31,375,622,069.25x = 67,227,388,656 × 67,227,388,656
  4. Step 4: Simplify right side
    31,375,622,069.25x = 4,519,521,785,504,877,510,656
  5. Step 5: Solve for x
    x = 4,519,521,785,504,877,510,656/31,375,622,069.25
  6. Step 6: Final answer
    x = 144,045,647,143.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.