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Finding the Third Proportional to 672,351,468,035.37 and 1,451,839,038,408.30

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Solution

The third proportional to 672,351,468,035.37 and 1,451,839,038,408.30 is: 3,135,021,924,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,351,468,035.37 : 1,451,839,038,408.30 = 1,451,839,038,408.30 : x
  2. Step 2: Convert to fraction form
    672,351,468,035.37/1,451,839,038,408.30 = 1,451,839,038,408.30/x
  3. Step 3: Cross multiply
    672,351,468,035.37x = 1,451,839,038,408.30 × 1,451,839,038,408.30
  4. Step 4: Simplify right side
    672,351,468,035.37x = 2,107,836,593,446,337,275,494,400
  5. Step 5: Solve for x
    x = 2,107,836,593,446,337,275,494,400/672,351,468,035.37
  6. Step 6: Final answer
    x = 3,135,021,924,776.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.