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Finding the Third Proportional to 10,235,223 and 22,517,467

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Solution

The third proportional to 10,235,223 and 22,517,467 is: 49,538,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235,223 : 22,517,467 = 22,517,467 : x
  2. Step 2: Convert to fraction form
    10,235,223/22,517,467 = 22,517,467/x
  3. Step 3: Cross multiply
    10,235,223x = 22,517,467 × 22,517,467
  4. Step 4: Simplify right side
    10,235,223x = 507,036,320,096,089
  5. Step 5: Solve for x
    x = 507,036,320,096,089/10,235,223
  6. Step 6: Final answer
    x = 49,538,375.48

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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.