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Finding the Third Proportional to 33,353,215,252 and 50,811,316,341

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Solution

The third proportional to 33,353,215,252 and 50,811,316,341 is: 77,407,525,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,353,215,252 : 50,811,316,341 = 50,811,316,341 : x
  2. Step 2: Convert to fraction form
    33,353,215,252/50,811,316,341 = 50,811,316,341/x
  3. Step 3: Cross multiply
    33,353,215,252x = 50,811,316,341 × 50,811,316,341
  4. Step 4: Simplify right side
    33,353,215,252x = 2,581,789,868,305,173,446,656
  5. Step 5: Solve for x
    x = 2,581,789,868,305,173,446,656/33,353,215,252
  6. Step 6: Final answer
    x = 77,407,525,745.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.