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Finding the Third Proportional to 36,554,144 and 80,283,120

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Solution

The third proportional to 36,554,144 and 80,283,120 is: 176,324,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,554,144 : 80,283,120 = 80,283,120 : x
  2. Step 2: Convert to fraction form
    36,554,144/80,283,120 = 80,283,120/x
  3. Step 3: Cross multiply
    36,554,144x = 80,283,120 × 80,283,120
  4. Step 4: Simplify right side
    36,554,144x = 6,445,379,356,934,400
  5. Step 5: Solve for x
    x = 6,445,379,356,934,400/36,554,144
  6. Step 6: Final answer
    x = 176,324,177.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.