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Finding the Third Proportional to 2,273,959,184,163 and 5,056,343,189,970

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Solution

The third proportional to 2,273,959,184,163 and 5,056,343,189,970 is: 11,243,212,557,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,959,184,163 : 5,056,343,189,970 = 5,056,343,189,970 : x
  2. Step 2: Convert to fraction form
    2,273,959,184,163/5,056,343,189,970 = 5,056,343,189,970/x
  3. Step 3: Cross multiply
    2,273,959,184,163x = 5,056,343,189,970 × 5,056,343,189,970
  4. Step 4: Simplify right side
    2,273,959,184,163x = 25,566,606,454,755,994,145,652,736
  5. Step 5: Solve for x
    x = 25,566,606,454,755,994,145,652,736/2,273,959,184,163
  6. Step 6: Final answer
    x = 11,243,212,557,558.09

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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.