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Finding the Third Proportional to 1,850,381,241,616 and 4,058,212,888,480

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Solution

The third proportional to 1,850,381,241,616 and 4,058,212,888,480 is: 8,900,377,650,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850,381,241,616 : 4,058,212,888,480 = 4,058,212,888,480 : x
  2. Step 2: Convert to fraction form
    1,850,381,241,616/4,058,212,888,480 = 4,058,212,888,480/x
  3. Step 3: Cross multiply
    1,850,381,241,616x = 4,058,212,888,480 × 4,058,212,888,480
  4. Step 4: Simplify right side
    1,850,381,241,616x = 16,469,091,848,225,184,108,511,232
  5. Step 5: Solve for x
    x = 16,469,091,848,225,184,108,511,232/1,850,381,241,616
  6. Step 6: Final answer
    x = 8,900,377,650,738.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.