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Finding the Third Proportional to 122,725,728 and 272,693,272

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Solution

The third proportional to 122,725,728 and 272,693,272 is: 605,917,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,725,728 : 272,693,272 = 272,693,272 : x
  2. Step 2: Convert to fraction form
    122,725,728/272,693,272 = 272,693,272/x
  3. Step 3: Cross multiply
    122,725,728x = 272,693,272 × 272,693,272
  4. Step 4: Simplify right side
    122,725,728x = 74,361,620,594,065,984
  5. Step 5: Solve for x
    x = 74,361,620,594,065,984/122,725,728
  6. Step 6: Final answer
    x = 605,917,127.61

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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.