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Finding the Third Proportional to 4,247,451,546 and 5,905,741,869

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Solution

The third proportional to 4,247,451,546 and 5,905,741,869 is: 8,211,462,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247,451,546 : 5,905,741,869 = 5,905,741,869 : x
  2. Step 2: Convert to fraction form
    4,247,451,546/5,905,741,869 = 5,905,741,869/x
  3. Step 3: Cross multiply
    4,247,451,546x = 5,905,741,869 × 5,905,741,869
  4. Step 4: Simplify right side
    4,247,451,546x = 34,877,787,023,259,611,136
  5. Step 5: Solve for x
    x = 34,877,787,023,259,611,136/4,247,451,546
  6. Step 6: Final answer
    x = 8,211,462,013.29

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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.