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Finding the Third Proportional to 10,441,224 and 22,481,958.38

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Solution

The third proportional to 10,441,224 and 22,481,958.38 is: 48,407,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441,224 : 22,481,958.38 = 22,481,958.38 : x
  2. Step 2: Convert to fraction form
    10,441,224/22,481,958.38 = 22,481,958.38/x
  3. Step 3: Cross multiply
    10,441,224x = 22,481,958.38 × 22,481,958.38
  4. Step 4: Simplify right side
    10,441,224x = 505,438,452,375,232.62
  5. Step 5: Solve for x
    x = 505,438,452,375,232.62/10,441,224
  6. Step 6: Final answer
    x = 48,407,969.45

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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.