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Finding the Third Proportional to 5,347,958,515,758 and 11,746,538,843,449

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Solution

The third proportional to 5,347,958,515,758 and 11,746,538,843,449 is: 25,800,718,983,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,958,515,758 : 11,746,538,843,449 = 11,746,538,843,449 : x
  2. Step 2: Convert to fraction form
    5,347,958,515,758/11,746,538,843,449 = 11,746,538,843,449/x
  3. Step 3: Cross multiply
    5,347,958,515,758x = 11,746,538,843,449 × 11,746,538,843,449
  4. Step 4: Simplify right side
    5,347,958,515,758x = 137,981,174,800,656,168,084,570,112
  5. Step 5: Solve for x
    x = 137,981,174,800,656,168,084,570,112/5,347,958,515,758
  6. Step 6: Final answer
    x = 25,800,718,983,531.46

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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.