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Finding the Third Proportional to 36,961,758 and 57,458,717.25

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Solution

The third proportional to 36,961,758 and 57,458,717.25 is: 89,322,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,961,758 : 57,458,717.25 = 57,458,717.25 : x
  2. Step 2: Convert to fraction form
    36,961,758/57,458,717.25 = 57,458,717.25/x
  3. Step 3: Cross multiply
    36,961,758x = 57,458,717.25 × 57,458,717.25
  4. Step 4: Simplify right side
    36,961,758x = 3,301,504,188,015,447.50
  5. Step 5: Solve for x
    x = 3,301,504,188,015,447.50/36,961,758
  6. Step 6: Final answer
    x = 89,322,163.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.