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Finding the Third Proportional to 396,540,911 and 858,960,094

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Solution

The third proportional to 396,540,911 and 858,960,094 is: 1,860,621,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,540,911 : 858,960,094 = 858,960,094 : x
  2. Step 2: Convert to fraction form
    396,540,911/858,960,094 = 858,960,094/x
  3. Step 3: Cross multiply
    396,540,911x = 858,960,094 × 858,960,094
  4. Step 4: Simplify right side
    396,540,911x = 737,812,443,084,488,832
  5. Step 5: Solve for x
    x = 737,812,443,084,488,832/396,540,911
  6. Step 6: Final answer
    x = 1,860,621,243.91

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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.