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Finding the Third Proportional to 2,072,325,067 and 3,383,562,105

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Solution

The third proportional to 2,072,325,067 and 3,383,562,105 is: 5,524,467,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,325,067 : 3,383,562,105 = 3,383,562,105 : x
  2. Step 2: Convert to fraction form
    2,072,325,067/3,383,562,105 = 3,383,562,105/x
  3. Step 3: Cross multiply
    2,072,325,067x = 3,383,562,105 × 3,383,562,105
  4. Step 4: Simplify right side
    2,072,325,067x = 11,448,492,518,392,031,232
  5. Step 5: Solve for x
    x = 11,448,492,518,392,031,232/2,072,325,067
  6. Step 6: Final answer
    x = 5,524,467,517.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.