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Finding the Third Proportional to 36,924,225 and 80,350,401

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Solution

The third proportional to 36,924,225 and 80,350,401 is: 174,849,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,924,225 : 80,350,401 = 80,350,401 : x
  2. Step 2: Convert to fraction form
    36,924,225/80,350,401 = 80,350,401/x
  3. Step 3: Cross multiply
    36,924,225x = 80,350,401 × 80,350,401
  4. Step 4: Simplify right side
    36,924,225x = 6,456,186,940,860,801
  5. Step 5: Solve for x
    x = 6,456,186,940,860,801/36,924,225
  6. Step 6: Final answer
    x = 174,849,626.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.