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Finding the Third Proportional to 36,607,680 and 80,569,728

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Solution

The third proportional to 36,607,680 and 80,569,728 is: 177,325,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,607,680 : 80,569,728 = 80,569,728 : x
  2. Step 2: Convert to fraction form
    36,607,680/80,569,728 = 80,569,728/x
  3. Step 3: Cross multiply
    36,607,680x = 80,569,728 × 80,569,728
  4. Step 4: Simplify right side
    36,607,680x = 6,491,481,069,993,984
  5. Step 5: Solve for x
    x = 6,491,481,069,993,984/36,607,680
  6. Step 6: Final answer
    x = 177,325,661.45

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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.