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Finding the Third Proportional to 2,273,959,184,174 and 5,056,343,189,992

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Solution

The third proportional to 2,273,959,184,174 and 5,056,343,189,992 is: 11,243,212,557,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,959,184,174 : 5,056,343,189,992 = 5,056,343,189,992 : x
  2. Step 2: Convert to fraction form
    2,273,959,184,174/5,056,343,189,992 = 5,056,343,189,992/x
  3. Step 3: Cross multiply
    2,273,959,184,174x = 5,056,343,189,992 × 5,056,343,189,992
  4. Step 4: Simplify right side
    2,273,959,184,174x = 25,566,606,454,978,473,451,585,536
  5. Step 5: Solve for x
    x = 25,566,606,454,978,473,451,585,536/2,273,959,184,174
  6. Step 6: Final answer
    x = 11,243,212,557,601.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.