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Finding the Third Proportional to 11,021,872 and 23,354,912

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Solution

The third proportional to 11,021,872 and 23,354,912 is: 49,488,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021,872 : 23,354,912 = 23,354,912 : x
  2. Step 2: Convert to fraction form
    11,021,872/23,354,912 = 23,354,912/x
  3. Step 3: Cross multiply
    11,021,872x = 23,354,912 × 23,354,912
  4. Step 4: Simplify right side
    11,021,872x = 545,451,914,527,744
  5. Step 5: Solve for x
    x = 545,451,914,527,744/11,021,872
  6. Step 6: Final answer
    x = 49,488,137.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.