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Finding the Third Proportional to 33,011,230,171 and 71,504,013,880

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Solution

The third proportional to 33,011,230,171 and 71,504,013,880 is: 154,881,353,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011,230,171 : 71,504,013,880 = 71,504,013,880 : x
  2. Step 2: Convert to fraction form
    33,011,230,171/71,504,013,880 = 71,504,013,880/x
  3. Step 3: Cross multiply
    33,011,230,171x = 71,504,013,880 × 71,504,013,880
  4. Step 4: Simplify right side
    33,011,230,171x = 5,112,824,000,951,232,757,760
  5. Step 5: Solve for x
    x = 5,112,824,000,951,232,757,760/33,011,230,171
  6. Step 6: Final answer
    x = 154,881,353,238.47

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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.