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Finding the Third Proportional to 2,751,055,074 and 6,042,560,859

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Solution

The third proportional to 2,751,055,074 and 6,042,560,859 is: 13,272,195,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751,055,074 : 6,042,560,859 = 6,042,560,859 : x
  2. Step 2: Convert to fraction form
    2,751,055,074/6,042,560,859 = 6,042,560,859/x
  3. Step 3: Cross multiply
    2,751,055,074x = 6,042,560,859 × 6,042,560,859
  4. Step 4: Simplify right side
    2,751,055,074x = 36,512,541,734,718,816,256
  5. Step 5: Solve for x
    x = 36,512,541,734,718,816,256/2,751,055,074
  6. Step 6: Final answer
    x = 13,272,195,849.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.