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Finding the Third Proportional to 122,397,039 and 266,327,838

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Solution

The third proportional to 122,397,039 and 266,327,838 is: 579,511,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,397,039 : 266,327,838 = 266,327,838 : x
  2. Step 2: Convert to fraction form
    122,397,039/266,327,838 = 266,327,838/x
  3. Step 3: Cross multiply
    122,397,039x = 266,327,838 × 266,327,838
  4. Step 4: Simplify right side
    122,397,039x = 70,930,517,293,754,240
  5. Step 5: Solve for x
    x = 70,930,517,293,754,240/122,397,039
  6. Step 6: Final answer
    x = 579,511,709.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.