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Finding the Third Proportional to 3,322,024,826 and 7,841,957,158

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Solution

The third proportional to 3,322,024,826 and 7,841,957,158 is: 18,511,689,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322,024,826 : 7,841,957,158 = 7,841,957,158 : x
  2. Step 2: Convert to fraction form
    3,322,024,826/7,841,957,158 = 7,841,957,158/x
  3. Step 3: Cross multiply
    3,322,024,826x = 7,841,957,158 × 7,841,957,158
  4. Step 4: Simplify right side
    3,322,024,826x = 61,496,292,067,907,436,544
  5. Step 5: Solve for x
    x = 61,496,292,067,907,436,544/3,322,024,826
  6. Step 6: Final answer
    x = 18,511,689,493.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.