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Finding the Third Proportional to 259,300,469,622 and 561,886,067,436

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Solution

The third proportional to 259,300,469,622 and 561,886,067,436 is: 1,217,567,994,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,300,469,622 : 561,886,067,436 = 561,886,067,436 : x
  2. Step 2: Convert to fraction form
    259,300,469,622/561,886,067,436 = 561,886,067,436/x
  3. Step 3: Cross multiply
    259,300,469,622x = 561,886,067,436 × 561,886,067,436
  4. Step 4: Simplify right side
    259,300,469,622x = 315,715,952,778,693,117,476,864
  5. Step 5: Solve for x
    x = 315,715,952,778,693,117,476,864/259,300,469,622
  6. Step 6: Final answer
    x = 1,217,567,994,531.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.