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Finding the Third Proportional to 5,451,196,433 and 11,832,736,379

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Solution

The third proportional to 5,451,196,433 and 11,832,736,379 is: 25,684,939,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451,196,433 : 11,832,736,379 = 11,832,736,379 : x
  2. Step 2: Convert to fraction form
    5,451,196,433/11,832,736,379 = 11,832,736,379/x
  3. Step 3: Cross multiply
    5,451,196,433x = 11,832,736,379 × 11,832,736,379
  4. Step 4: Simplify right side
    5,451,196,433x = 140,013,650,214,910,033,920
  5. Step 5: Solve for x
    x = 140,013,650,214,910,033,920/5,451,196,433
  6. Step 6: Final answer
    x = 25,684,939,432.25

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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.