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Finding the Third Proportional to 3,453,999,702 and 5,305,766,100.75

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Solution

The third proportional to 3,453,999,702 and 5,305,766,100.75 is: 8,150,305,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453,999,702 : 5,305,766,100.75 = 5,305,766,100.75 : x
  2. Step 2: Convert to fraction form
    3,453,999,702/5,305,766,100.75 = 5,305,766,100.75/x
  3. Step 3: Cross multiply
    3,453,999,702x = 5,305,766,100.75 × 5,305,766,100.75
  4. Step 4: Simplify right side
    3,453,999,702x = 28,151,153,915,867,860,992
  5. Step 5: Solve for x
    x = 28,151,153,915,867,860,992/3,453,999,702
  6. Step 6: Final answer
    x = 8,150,305,832.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.