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Finding the Third Proportional to 122,726,853 and 272,695,680

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Solution

The third proportional to 122,726,853 and 272,695,680 is: 605,922,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,726,853 : 272,695,680 = 272,695,680 : x
  2. Step 2: Convert to fraction form
    122,726,853/272,695,680 = 272,695,680/x
  3. Step 3: Cross multiply
    122,726,853x = 272,695,680 × 272,695,680
  4. Step 4: Simplify right side
    122,726,853x = 74,362,933,890,662,400
  5. Step 5: Solve for x
    x = 74,362,933,890,662,400/122,726,853
  6. Step 6: Final answer
    x = 605,922,274.33

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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.