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Finding the Third Proportional to 26,447,632,782 and 57,544,123,832

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Solution

The third proportional to 26,447,632,782 and 57,544,123,832 is: 125,203,121,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,447,632,782 : 57,544,123,832 = 57,544,123,832 : x
  2. Step 2: Convert to fraction form
    26,447,632,782/57,544,123,832 = 57,544,123,832/x
  3. Step 3: Cross multiply
    26,447,632,782x = 57,544,123,832 × 57,544,123,832
  4. Step 4: Simplify right side
    26,447,632,782x = 3,311,326,187,592,550,449,152
  5. Step 5: Solve for x
    x = 3,311,326,187,592,550,449,152/26,447,632,782
  6. Step 6: Final answer
    x = 125,203,121,764.69

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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.