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Finding the Third Proportional to 57,540,066 and 123,242,016

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Solution

The third proportional to 57,540,066 and 123,242,016 is: 263,965,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,540,066 : 123,242,016 = 123,242,016 : x
  2. Step 2: Convert to fraction form
    57,540,066/123,242,016 = 123,242,016/x
  3. Step 3: Cross multiply
    57,540,066x = 123,242,016 × 123,242,016
  4. Step 4: Simplify right side
    57,540,066x = 15,188,594,507,744,256
  5. Step 5: Solve for x
    x = 15,188,594,507,744,256/57,540,066
  6. Step 6: Final answer
    x = 263,965,538.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.