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Finding the Third Proportional to 1,279,662,263,208 and 2,751,909,296,976

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Solution

The third proportional to 1,279,662,263,208 and 2,751,909,296,976 is: 5,917,971,480,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,662,263,208 : 2,751,909,296,976 = 2,751,909,296,976 : x
  2. Step 2: Convert to fraction form
    1,279,662,263,208/2,751,909,296,976 = 2,751,909,296,976/x
  3. Step 3: Cross multiply
    1,279,662,263,208x = 2,751,909,296,976 × 2,751,909,296,976
  4. Step 4: Simplify right side
    1,279,662,263,208x = 7,573,004,778,782,942,138,728,448
  5. Step 5: Solve for x
    x = 7,573,004,778,782,942,138,728,448/1,279,662,263,208
  6. Step 6: Final answer
    x = 5,917,971,480,848.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.