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Finding the Third Proportional to 9,454,470 and 20,747,100

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Solution

The third proportional to 9,454,470 and 20,747,100 is: 45,527,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454,470 : 20,747,100 = 20,747,100 : x
  2. Step 2: Convert to fraction form
    9,454,470/20,747,100 = 20,747,100/x
  3. Step 3: Cross multiply
    9,454,470x = 20,747,100 × 20,747,100
  4. Step 4: Simplify right side
    9,454,470x = 430,442,158,410,000
  5. Step 5: Solve for x
    x = 430,442,158,410,000/9,454,470
  6. Step 6: Final answer
    x = 45,527,899.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.