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Finding the Third Proportional to 5,261,029,086 and 11,448,211,361

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Solution

The third proportional to 5,261,029,086 and 11,448,211,361 is: 24,911,769,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261,029,086 : 11,448,211,361 = 11,448,211,361 : x
  2. Step 2: Convert to fraction form
    5,261,029,086/11,448,211,361 = 11,448,211,361/x
  3. Step 3: Cross multiply
    5,261,029,086x = 11,448,211,361 × 11,448,211,361
  4. Step 4: Simplify right side
    5,261,029,086x = 131,061,543,366,129,467,392
  5. Step 5: Solve for x
    x = 131,061,543,366,129,467,392/5,261,029,086
  6. Step 6: Final answer
    x = 24,911,769,394.11

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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.