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Finding the Third Proportional to 26,651,593,165 and 57,891,057,434

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Solution

The third proportional to 26,651,593,165 and 57,891,057,434 is: 125,747,624,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,651,593,165 : 57,891,057,434 = 57,891,057,434 : x
  2. Step 2: Convert to fraction form
    26,651,593,165/57,891,057,434 = 57,891,057,434/x
  3. Step 3: Cross multiply
    26,651,593,165x = 57,891,057,434 × 57,891,057,434
  4. Step 4: Simplify right side
    26,651,593,165x = 3,351,374,530,826,686,431,232
  5. Step 5: Solve for x
    x = 3,351,374,530,826,686,431,232/26,651,593,165
  6. Step 6: Final answer
    x = 125,747,624,544.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.