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Finding the Third Proportional to 10,491,450 and 22,577,223

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Solution

The third proportional to 10,491,450 and 22,577,223 is: 48,585,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491,450 : 22,577,223 = 22,577,223 : x
  2. Step 2: Convert to fraction form
    10,491,450/22,577,223 = 22,577,223/x
  3. Step 3: Cross multiply
    10,491,450x = 22,577,223 × 22,577,223
  4. Step 4: Simplify right side
    10,491,450x = 509,730,998,391,729
  5. Step 5: Solve for x
    x = 509,730,998,391,729/10,491,450
  6. Step 6: Final answer
    x = 48,585,371.74

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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.