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Finding the Third Proportional to 115,558,586,067 and 234,366,416,826

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Solution

The third proportional to 115,558,586,067 and 234,366,416,826 is: 475,322,684,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,558,586,067 : 234,366,416,826 = 234,366,416,826 : x
  2. Step 2: Convert to fraction form
    115,558,586,067/234,366,416,826 = 234,366,416,826/x
  3. Step 3: Cross multiply
    115,558,586,067x = 234,366,416,826 × 234,366,416,826
  4. Step 4: Simplify right side
    115,558,586,067x = 54,927,617,335,858,376,474,624
  5. Step 5: Solve for x
    x = 54,927,617,335,858,376,474,624/115,558,586,067
  6. Step 6: Final answer
    x = 475,322,684,408.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.