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Finding the Third Proportional to 55,198,302,390 and 120,067,916,976

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Solution

The third proportional to 55,198,302,390 and 120,067,916,976 is: 261,172,972,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198,302,390 : 120,067,916,976 = 120,067,916,976 : x
  2. Step 2: Convert to fraction form
    55,198,302,390/120,067,916,976 = 120,067,916,976/x
  3. Step 3: Cross multiply
    55,198,302,390x = 120,067,916,976 × 120,067,916,976
  4. Step 4: Simplify right side
    55,198,302,390x = 14,416,304,686,955,629,641,728
  5. Step 5: Solve for x
    x = 14,416,304,686,955,629,641,728/55,198,302,390
  6. Step 6: Final answer
    x = 261,172,972,043.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.