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Finding the Third Proportional to 33,144,912,598 and 71,017,524,332

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Solution

The third proportional to 33,144,912,598 and 71,017,524,332 is: 152,164,792,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144,912,598 : 71,017,524,332 = 71,017,524,332 : x
  2. Step 2: Convert to fraction form
    33,144,912,598/71,017,524,332 = 71,017,524,332/x
  3. Step 3: Cross multiply
    33,144,912,598x = 71,017,524,332 × 71,017,524,332
  4. Step 4: Simplify right side
    33,144,912,598x = 5,043,488,762,246,211,829,760
  5. Step 5: Solve for x
    x = 5,043,488,762,246,211,829,760/33,144,912,598
  6. Step 6: Final answer
    x = 152,164,792,932.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.