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Finding the Third Proportional to 8,694,542,109 and 19,097,151,993

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Solution

The third proportional to 8,694,542,109 and 19,097,151,993 is: 41,945,994,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694,542,109 : 19,097,151,993 = 19,097,151,993 : x
  2. Step 2: Convert to fraction form
    8,694,542,109/19,097,151,993 = 19,097,151,993/x
  3. Step 3: Cross multiply
    8,694,542,109x = 19,097,151,993 × 19,097,151,993
  4. Step 4: Simplify right side
    8,694,542,109x = 364,701,214,243,743,858,688
  5. Step 5: Solve for x
    x = 364,701,214,243,743,858,688/8,694,542,109
  6. Step 6: Final answer
    x = 41,945,994,357.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.