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Finding the Third Proportional to 632,597,212,268 and 963,696,491,862

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Solution

The third proportional to 632,597,212,268 and 963,696,491,862 is: 1,468,092,034,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,597,212,268 : 963,696,491,862 = 963,696,491,862 : x
  2. Step 2: Convert to fraction form
    632,597,212,268/963,696,491,862 = 963,696,491,862/x
  3. Step 3: Cross multiply
    632,597,212,268x = 963,696,491,862 × 963,696,491,862
  4. Step 4: Simplify right side
    632,597,212,268x = 928,710,928,427,125,858,893,824
  5. Step 5: Solve for x
    x = 928,710,928,427,125,858,893,824/632,597,212,268
  6. Step 6: Final answer
    x = 1,468,092,034,578.36

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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.