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Finding the Third Proportional to 9,383,874 and 20,561,361

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Solution

The third proportional to 9,383,874 and 20,561,361 is: 45,052,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383,874 : 20,561,361 = 20,561,361 : x
  2. Step 2: Convert to fraction form
    9,383,874/20,561,361 = 20,561,361/x
  3. Step 3: Cross multiply
    9,383,874x = 20,561,361 × 20,561,361
  4. Step 4: Simplify right side
    9,383,874x = 422,769,566,172,321
  5. Step 5: Solve for x
    x = 422,769,566,172,321/9,383,874
  6. Step 6: Final answer
    x = 45,052,775.24

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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.