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Finding the Third Proportional to 11,132,832 and 24,154,912

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Solution

The third proportional to 11,132,832 and 24,154,912 is: 52,408,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132,832 : 24,154,912 = 24,154,912 : x
  2. Step 2: Convert to fraction form
    11,132,832/24,154,912 = 24,154,912/x
  3. Step 3: Cross multiply
    11,132,832x = 24,154,912 × 24,154,912
  4. Step 4: Simplify right side
    11,132,832x = 583,459,773,727,744
  5. Step 5: Solve for x
    x = 583,459,773,727,744/11,132,832
  6. Step 6: Final answer
    x = 52,408,926.47

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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.