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Finding the Third Proportional to 33,144,912,594 and 71,017,524,324

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Solution

The third proportional to 33,144,912,594 and 71,017,524,324 is: 152,164,792,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144,912,594 : 71,017,524,324 = 71,017,524,324 : x
  2. Step 2: Convert to fraction form
    33,144,912,594/71,017,524,324 = 71,017,524,324/x
  3. Step 3: Cross multiply
    33,144,912,594x = 71,017,524,324 × 71,017,524,324
  4. Step 4: Simplify right side
    33,144,912,594x = 5,043,488,761,109,931,884,544
  5. Step 5: Solve for x
    x = 5,043,488,761,109,931,884,544/33,144,912,594
  6. Step 6: Final answer
    x = 152,164,792,916.75

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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.