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Finding the Third Proportional to 37,690,858,880 and 81,663,099,352

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Solution

The third proportional to 37,690,858,880 and 81,663,099,352 is: 176,935,787,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,690,858,880 : 81,663,099,352 = 81,663,099,352 : x
  2. Step 2: Convert to fraction form
    37,690,858,880/81,663,099,352 = 81,663,099,352/x
  3. Step 3: Cross multiply
    37,690,858,880x = 81,663,099,352 × 81,663,099,352
  4. Step 4: Simplify right side
    37,690,858,880x = 6,668,861,795,774,622,597,120
  5. Step 5: Solve for x
    x = 6,668,861,795,774,622,597,120/37,690,858,880
  6. Step 6: Final answer
    x = 176,935,787,454.64

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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.