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Finding the Third Proportional to 33,011,230,166 and 71,504,013,870.50

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Solution

The third proportional to 33,011,230,166 and 71,504,013,870.50 is: 154,881,353,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011,230,166 : 71,504,013,870.50 = 71,504,013,870.50 : x
  2. Step 2: Convert to fraction form
    33,011,230,166/71,504,013,870.50 = 71,504,013,870.50/x
  3. Step 3: Cross multiply
    33,011,230,166x = 71,504,013,870.50 × 71,504,013,870.50
  4. Step 4: Simplify right side
    33,011,230,166x = 5,112,823,999,592,656,797,696
  5. Step 5: Solve for x
    x = 5,112,823,999,592,656,797,696/33,011,230,166
  6. Step 6: Final answer
    x = 154,881,353,220.78

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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.