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Finding the Third Proportional to 33,195,842,678 and 50,992,874,776

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Solution

The third proportional to 33,195,842,678 and 50,992,874,776 is: 78,331,292,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,195,842,678 : 50,992,874,776 = 50,992,874,776 : x
  2. Step 2: Convert to fraction form
    33,195,842,678/50,992,874,776 = 50,992,874,776/x
  3. Step 3: Cross multiply
    33,195,842,678x = 50,992,874,776 × 50,992,874,776
  4. Step 4: Simplify right side
    33,195,842,678x = 2,600,273,277,920,816,922,624
  5. Step 5: Solve for x
    x = 2,600,273,277,920,816,922,624/33,195,842,678
  6. Step 6: Final answer
    x = 78,331,292,961.70

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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.