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Finding the Third Proportional to 33,011,230,168 and 71,504,013,875

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Solution

The third proportional to 33,011,230,168 and 71,504,013,875 is: 154,881,353,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011,230,168 : 71,504,013,875 = 71,504,013,875 : x
  2. Step 2: Convert to fraction form
    33,011,230,168/71,504,013,875 = 71,504,013,875/x
  3. Step 3: Cross multiply
    33,011,230,168x = 71,504,013,875 × 71,504,013,875
  4. Step 4: Simplify right side
    33,011,230,168x = 5,112,824,000,236,192,006,144
  5. Step 5: Solve for x
    x = 5,112,824,000,236,192,006,144/33,011,230,168
  6. Step 6: Final answer
    x = 154,881,353,230.89

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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.