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Finding the Third Proportional to 36,533,916 and 80,299,512

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Solution

The third proportional to 36,533,916 and 80,299,512 is: 176,493,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,533,916 : 80,299,512 = 80,299,512 : x
  2. Step 2: Convert to fraction form
    36,533,916/80,299,512 = 80,299,512/x
  3. Step 3: Cross multiply
    36,533,916x = 80,299,512 × 80,299,512
  4. Step 4: Simplify right side
    36,533,916x = 6,448,011,627,438,144
  5. Step 5: Solve for x
    x = 6,448,011,627,438,144/36,533,916
  6. Step 6: Final answer
    x = 176,493,853.75

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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.