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Finding the Third Proportional to 37,790,274,279 and 81,188,747,007

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Solution

The third proportional to 37,790,274,279 and 81,188,747,007 is: 174,426,165,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,790,274,279 : 81,188,747,007 = 81,188,747,007 : x
  2. Step 2: Convert to fraction form
    37,790,274,279/81,188,747,007 = 81,188,747,007/x
  3. Step 3: Cross multiply
    37,790,274,279x = 81,188,747,007 × 81,188,747,007
  4. Step 4: Simplify right side
    37,790,274,279x = 6,591,612,640,566,651,650,048
  5. Step 5: Solve for x
    x = 6,591,612,640,566,651,650,048/37,790,274,279
  6. Step 6: Final answer
    x = 174,426,165,629.33

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Why These Related Problems?

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