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Finding the Third Proportional to 5,387,196,930 and 12,586,922,828

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Solution

The third proportional to 5,387,196,930 and 12,586,922,828 is: 29,408,731,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387,196,930 : 12,586,922,828 = 12,586,922,828 : x
  2. Step 2: Convert to fraction form
    5,387,196,930/12,586,922,828 = 12,586,922,828/x
  3. Step 3: Cross multiply
    5,387,196,930x = 12,586,922,828 × 12,586,922,828
  4. Step 4: Simplify right side
    5,387,196,930x = 158,430,626,278,027,526,144
  5. Step 5: Solve for x
    x = 158,430,626,278,027,526,144/5,387,196,930
  6. Step 6: Final answer
    x = 29,408,731,170.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.