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Finding the Third Proportional to 5,878,864 and 11,993,916

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Solution

The third proportional to 5,878,864 and 11,993,916 is: 24,469,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878,864 : 11,993,916 = 11,993,916 : x
  2. Step 2: Convert to fraction form
    5,878,864/11,993,916 = 11,993,916/x
  3. Step 3: Cross multiply
    5,878,864x = 11,993,916 × 11,993,916
  4. Step 4: Simplify right side
    5,878,864x = 143,854,021,015,056
  5. Step 5: Solve for x
    x = 143,854,021,015,056/5,878,864
  6. Step 6: Final answer
    x = 24,469,697.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.