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Finding the Third Proportional to 55,198,302,388 and 120,067,916,972

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Solution

The third proportional to 55,198,302,388 and 120,067,916,972 is: 261,172,972,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198,302,388 : 120,067,916,972 = 120,067,916,972 : x
  2. Step 2: Convert to fraction form
    55,198,302,388/120,067,916,972 = 120,067,916,972/x
  3. Step 3: Cross multiply
    55,198,302,388x = 120,067,916,972 × 120,067,916,972
  4. Step 4: Simplify right side
    55,198,302,388x = 14,416,304,685,995,085,791,232
  5. Step 5: Solve for x
    x = 14,416,304,685,995,085,791,232/55,198,302,388
  6. Step 6: Final answer
    x = 261,172,972,035.63

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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.