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Finding the Third Proportional to 2,408,872,505 and 3,682,544,500

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Solution

The third proportional to 2,408,872,505 and 3,682,544,500 is: 5,629,660,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,872,505 : 3,682,544,500 = 3,682,544,500 : x
  2. Step 2: Convert to fraction form
    2,408,872,505/3,682,544,500 = 3,682,544,500/x
  3. Step 3: Cross multiply
    2,408,872,505x = 3,682,544,500 × 3,682,544,500
  4. Step 4: Simplify right side
    2,408,872,505x = 13,561,133,994,480,250,880
  5. Step 5: Solve for x
    x = 13,561,133,994,480,250,880/2,408,872,505
  6. Step 6: Final answer
    x = 5,629,660,335.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.