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Finding the Third Proportional to 4,169,188,313 and 6,351,474,227

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Solution

The third proportional to 4,169,188,313 and 6,351,474,227 is: 9,676,038,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169,188,313 : 6,351,474,227 = 6,351,474,227 : x
  2. Step 2: Convert to fraction form
    4,169,188,313/6,351,474,227 = 6,351,474,227/x
  3. Step 3: Cross multiply
    4,169,188,313x = 6,351,474,227 × 6,351,474,227
  4. Step 4: Simplify right side
    4,169,188,313x = 40,341,224,856,245,248,000
  5. Step 5: Solve for x
    x = 40,341,224,856,245,248,000/4,169,188,313
  6. Step 6: Final answer
    x = 9,676,038,074.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.