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Finding the Third Proportional to 11,241,869 and 24,188,775

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Solution

The third proportional to 11,241,869 and 24,188,775 is: 52,046,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241,869 : 24,188,775 = 24,188,775 : x
  2. Step 2: Convert to fraction form
    11,241,869/24,188,775 = 24,188,775/x
  3. Step 3: Cross multiply
    11,241,869x = 24,188,775 × 24,188,775
  4. Step 4: Simplify right side
    11,241,869x = 585,096,836,000,625
  5. Step 5: Solve for x
    x = 585,096,836,000,625/11,241,869
  6. Step 6: Final answer
    x = 52,046,224.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.