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Finding the Third Proportional to 11,431,424 and 24,434,912

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Solution

The third proportional to 11,431,424 and 24,434,912 is: 52,230,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,424 : 24,434,912 = 24,434,912 : x
  2. Step 2: Convert to fraction form
    11,431,424/24,434,912 = 24,434,912/x
  3. Step 3: Cross multiply
    11,431,424x = 24,434,912 × 24,434,912
  4. Step 4: Simplify right side
    11,431,424x = 597,064,924,447,744
  5. Step 5: Solve for x
    x = 597,064,924,447,744/11,431,424
  6. Step 6: Final answer
    x = 52,230,144.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.