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Finding the Third Proportional to 33,339,776,967,504 and 72,218,308,564,512

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Solution

The third proportional to 33,339,776,967,504 and 72,218,308,564,512 is: 156,434,282,598,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,339,776,967,504 : 72,218,308,564,512 = 72,218,308,564,512 : x
  2. Step 2: Convert to fraction form
    33,339,776,967,504/72,218,308,564,512 = 72,218,308,564,512/x
  3. Step 3: Cross multiply
    33,339,776,967,504x = 72,218,308,564,512 × 72,218,308,564,512
  4. Step 4: Simplify right side
    33,339,776,967,504x = 5,215,484,091,919,067,784,606,121,984
  5. Step 5: Solve for x
    x = 5,215,484,091,919,067,784,606,121,984/33,339,776,967,504
  6. Step 6: Final answer
    x = 156,434,282,598,907.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.