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Finding the Third Proportional to 396,511,767 and 858,923,311.50

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Solution

The third proportional to 396,511,767 and 858,923,311.50 is: 1,860,598,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,511,767 : 858,923,311.50 = 858,923,311.50 : x
  2. Step 2: Convert to fraction form
    396,511,767/858,923,311.50 = 858,923,311.50/x
  3. Step 3: Cross multiply
    396,511,767x = 858,923,311.50 × 858,923,311.50
  4. Step 4: Simplify right side
    396,511,767x = 737,749,255,038,126,080
  5. Step 5: Solve for x
    x = 737,749,255,038,126,080/396,511,767
  6. Step 6: Final answer
    x = 1,860,598,641.55

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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.