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Finding the Third Proportional to 54,587,826 and 120,093,096

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Solution

The third proportional to 54,587,826 and 120,093,096 is: 264,204,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,587,826 : 120,093,096 = 120,093,096 : x
  2. Step 2: Convert to fraction form
    54,587,826/120,093,096 = 120,093,096/x
  3. Step 3: Cross multiply
    54,587,826x = 120,093,096 × 120,093,096
  4. Step 4: Simplify right side
    54,587,826x = 14,422,351,706,865,216
  5. Step 5: Solve for x
    x = 14,422,351,706,865,216/54,587,826
  6. Step 6: Final answer
    x = 264,204,544.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.