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Finding the Third Proportional to 27,715,576,676 and 56,900,436,812

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Solution

The third proportional to 27,715,576,676 and 56,900,436,812 is: 116,817,331,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715,576,676 : 56,900,436,812 = 56,900,436,812 : x
  2. Step 2: Convert to fraction form
    27,715,576,676/56,900,436,812 = 56,900,436,812/x
  3. Step 3: Cross multiply
    27,715,576,676x = 56,900,436,812 × 56,900,436,812
  4. Step 4: Simplify right side
    27,715,576,676x = 3,237,659,709,396,404,928,512
  5. Step 5: Solve for x
    x = 3,237,659,709,396,404,928,512/27,715,576,676
  6. Step 6: Final answer
    x = 116,817,331,540.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.