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Finding the Third Proportional to 335,305,317,194.73 and 731,297,368,016.23

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Solution

The third proportional to 335,305,317,194.73 and 731,297,368,016.23 is: 1,594,951,863,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,305,317,194.73 : 731,297,368,016.23 = 731,297,368,016.23 : x
  2. Step 2: Convert to fraction form
    335,305,317,194.73/731,297,368,016.23 = 731,297,368,016.23/x
  3. Step 3: Cross multiply
    335,305,317,194.73x = 731,297,368,016.23 × 731,297,368,016.23
  4. Step 4: Simplify right side
    335,305,317,194.73x = 534,795,840,467,465,303,752,704
  5. Step 5: Solve for x
    x = 534,795,840,467,465,303,752,704/335,305,317,194.73
  6. Step 6: Final answer
    x = 1,594,951,863,399.41

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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.