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Finding the Third Proportional to 37,690,858,884 and 81,663,099,360

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Solution

The third proportional to 37,690,858,884 and 81,663,099,360 is: 176,935,787,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,690,858,884 : 81,663,099,360 = 81,663,099,360 : x
  2. Step 2: Convert to fraction form
    37,690,858,884/81,663,099,360 = 81,663,099,360/x
  3. Step 3: Cross multiply
    37,690,858,884x = 81,663,099,360 × 81,663,099,360
  4. Step 4: Simplify right side
    37,690,858,884x = 6,668,861,797,081,232,179,200
  5. Step 5: Solve for x
    x = 6,668,861,797,081,232,179,200/37,690,858,884
  6. Step 6: Final answer
    x = 176,935,787,470.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.