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Finding the Third Proportional to 1,844,505,067.50 and 4,016,509,920

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Solution

The third proportional to 1,844,505,067.50 and 4,016,509,920 is: 8,746,168,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844,505,067.50 : 4,016,509,920 = 4,016,509,920 : x
  2. Step 2: Convert to fraction form
    1,844,505,067.50/4,016,509,920 = 4,016,509,920/x
  3. Step 3: Cross multiply
    1,844,505,067.50x = 4,016,509,920 × 4,016,509,920
  4. Step 4: Simplify right side
    1,844,505,067.50x = 16,132,351,937,458,405,376
  5. Step 5: Solve for x
    x = 16,132,351,937,458,405,376/1,844,505,067.50
  6. Step 6: Final answer
    x = 8,746,168,401.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.