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Finding the Third Proportional to 396,540,912 and 858,960,096

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Solution

The third proportional to 396,540,912 and 858,960,096 is: 1,860,621,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,540,912 : 858,960,096 = 858,960,096 : x
  2. Step 2: Convert to fraction form
    396,540,912/858,960,096 = 858,960,096/x
  3. Step 3: Cross multiply
    396,540,912x = 858,960,096 × 858,960,096
  4. Step 4: Simplify right side
    396,540,912x = 737,812,446,520,329,216
  5. Step 5: Solve for x
    x = 737,812,446,520,329,216/396,540,912
  6. Step 6: Final answer
    x = 1,860,621,247.88

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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.