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Finding the Third Proportional to 9,414,288 and 20,321,568

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Solution

The third proportional to 9,414,288 and 20,321,568 is: 43,865,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414,288 : 20,321,568 = 20,321,568 : x
  2. Step 2: Convert to fraction form
    9,414,288/20,321,568 = 20,321,568/x
  3. Step 3: Cross multiply
    9,414,288x = 20,321,568 × 20,321,568
  4. Step 4: Simplify right side
    9,414,288x = 412,966,125,978,624
  5. Step 5: Solve for x
    x = 412,966,125,978,624/9,414,288
  6. Step 6: Final answer
    x = 43,865,890.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.