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Finding the Third Proportional to 632,597,212,251 and 963,696,491,847

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Solution

The third proportional to 632,597,212,251 and 963,696,491,847 is: 1,468,092,034,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,597,212,251 : 963,696,491,847 = 963,696,491,847 : x
  2. Step 2: Convert to fraction form
    632,597,212,251/963,696,491,847 = 963,696,491,847/x
  3. Step 3: Cross multiply
    632,597,212,251x = 963,696,491,847 × 963,696,491,847
  4. Step 4: Simplify right side
    632,597,212,251x = 928,710,928,398,214,957,629,440
  5. Step 5: Solve for x
    x = 928,710,928,398,214,957,629,440/632,597,212,251
  6. Step 6: Final answer
    x = 1,468,092,034,572.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.