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Finding the Third Proportional to 9,446,016 and 20,268,096

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Solution

The third proportional to 9,446,016 and 20,268,096 is: 43,488,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446,016 : 20,268,096 = 20,268,096 : x
  2. Step 2: Convert to fraction form
    9,446,016/20,268,096 = 20,268,096/x
  3. Step 3: Cross multiply
    9,446,016x = 20,268,096 × 20,268,096
  4. Step 4: Simplify right side
    9,446,016x = 410,795,715,465,216
  5. Step 5: Solve for x
    x = 410,795,715,465,216/9,446,016
  6. Step 6: Final answer
    x = 43,488,780.40

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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.