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Finding the Third Proportional to 3,873,496,563 and 8,285,519,979

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Solution

The third proportional to 3,873,496,563 and 8,285,519,979 is: 17,722,964,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873,496,563 : 8,285,519,979 = 8,285,519,979 : x
  2. Step 2: Convert to fraction form
    3,873,496,563/8,285,519,979 = 8,285,519,979/x
  3. Step 3: Cross multiply
    3,873,496,563x = 8,285,519,979 × 8,285,519,979
  4. Step 4: Simplify right side
    3,873,496,563x = 68,649,841,322,408,157,184
  5. Step 5: Solve for x
    x = 68,649,841,322,408,157,184/3,873,496,563
  6. Step 6: Final answer
    x = 17,722,964,305.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.