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Finding the Third Proportional to 3,470,384,198 and 5,286,891,878

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Solution

The third proportional to 3,470,384,198 and 5,286,891,878 is: 8,054,216,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470,384,198 : 5,286,891,878 = 5,286,891,878 : x
  2. Step 2: Convert to fraction form
    3,470,384,198/5,286,891,878 = 5,286,891,878/x
  3. Step 3: Cross multiply
    3,470,384,198x = 5,286,891,878 × 5,286,891,878
  4. Step 4: Simplify right side
    3,470,384,198x = 27,951,225,729,662,365,696
  5. Step 5: Solve for x
    x = 27,951,225,729,662,365,696/3,470,384,198
  6. Step 6: Final answer
    x = 8,054,216,517.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.