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Finding the Third Proportional to 126,787,372,173 and 276,356,015,838

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Solution

The third proportional to 126,787,372,173 and 276,356,015,838 is: 602,367,934,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,787,372,173 : 276,356,015,838 = 276,356,015,838 : x
  2. Step 2: Convert to fraction form
    126,787,372,173/276,356,015,838 = 276,356,015,838/x
  3. Step 3: Cross multiply
    126,787,372,173x = 276,356,015,838 × 276,356,015,838
  4. Step 4: Simplify right side
    126,787,372,173x = 76,372,647,489,852,906,930,176
  5. Step 5: Solve for x
    x = 76,372,647,489,852,906,930,176/126,787,372,173
  6. Step 6: Final answer
    x = 602,367,934,447.31

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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.