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Finding the Third Proportional to 122,725,726 and 272,693,268

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Solution

The third proportional to 122,725,726 and 272,693,268 is: 605,917,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,725,726 : 272,693,268 = 272,693,268 : x
  2. Step 2: Convert to fraction form
    122,725,726/272,693,268 = 272,693,268/x
  3. Step 3: Cross multiply
    122,725,726x = 272,693,268 × 272,693,268
  4. Step 4: Simplify right side
    122,725,726x = 74,361,618,412,519,824
  5. Step 5: Solve for x
    x = 74,361,618,412,519,824/122,725,726
  6. Step 6: Final answer
    x = 605,917,119.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.