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Finding the Third Proportional to 4,247,451,552 and 5,905,741,876

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Solution

The third proportional to 4,247,451,552 and 5,905,741,876 is: 8,211,462,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247,451,552 : 5,905,741,876 = 5,905,741,876 : x
  2. Step 2: Convert to fraction form
    4,247,451,552/5,905,741,876 = 5,905,741,876/x
  3. Step 3: Cross multiply
    4,247,451,552x = 5,905,741,876 × 5,905,741,876
  4. Step 4: Simplify right side
    4,247,451,552x = 34,877,787,105,940,000,768
  5. Step 5: Solve for x
    x = 34,877,787,105,940,000,768/4,247,451,552
  6. Step 6: Final answer
    x = 8,211,462,021.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.