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Finding the Third Proportional to 36,961,760 and 57,458,720

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Solution

The third proportional to 36,961,760 and 57,458,720 is: 89,322,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,961,760 : 57,458,720 = 57,458,720 : x
  2. Step 2: Convert to fraction form
    36,961,760/57,458,720 = 57,458,720/x
  3. Step 3: Cross multiply
    36,961,760x = 57,458,720 × 57,458,720
  4. Step 4: Simplify right side
    36,961,760x = 3,301,504,504,038,400
  5. Step 5: Solve for x
    x = 3,301,504,504,038,400/36,961,760
  6. Step 6: Final answer
    x = 89,322,167.13

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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.