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Finding the Third Proportional to 35,540,121.94 and 54,603,469.41

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Solution

The third proportional to 35,540,121.94 and 54,603,469.41 is: 83,892,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,540,121.94 : 54,603,469.41 = 54,603,469.41 : x
  2. Step 2: Convert to fraction form
    35,540,121.94/54,603,469.41 = 54,603,469.41/x
  3. Step 3: Cross multiply
    35,540,121.94x = 54,603,469.41 × 54,603,469.41
  4. Step 4: Simplify right side
    35,540,121.94x = 2,981,538,871,199,279.50
  5. Step 5: Solve for x
    x = 2,981,538,871,199,279.50/35,540,121.94
  6. Step 6: Final answer
    x = 83,892,195.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.