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Finding the Third Proportional to 9,263,884 and 20,412,512

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Solution

The third proportional to 9,263,884 and 20,412,512 is: 44,977,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263,884 : 20,412,512 = 20,412,512 : x
  2. Step 2: Convert to fraction form
    9,263,884/20,412,512 = 20,412,512/x
  3. Step 3: Cross multiply
    9,263,884x = 20,412,512 × 20,412,512
  4. Step 4: Simplify right side
    9,263,884x = 416,670,646,150,144
  5. Step 5: Solve for x
    x = 416,670,646,150,144/9,263,884
  6. Step 6: Final answer
    x = 44,977,964.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.