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Finding the Third Proportional to 54,835,828 and 120,433,884

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Solution

The third proportional to 54,835,828 and 120,433,884 is: 264,504,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,835,828 : 120,433,884 = 120,433,884 : x
  2. Step 2: Convert to fraction form
    54,835,828/120,433,884 = 120,433,884/x
  3. Step 3: Cross multiply
    54,835,828x = 120,433,884 × 120,433,884
  4. Step 4: Simplify right side
    54,835,828x = 14,504,320,415,325,456
  5. Step 5: Solve for x
    x = 14,504,320,415,325,456/54,835,828
  6. Step 6: Final answer
    x = 264,504,447.99

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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.