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Finding the Third Proportional to 859,597,092,016 and 1,839,947,145,656

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Solution

The third proportional to 859,597,092,016 and 1,839,947,145,656 is: 3,938,363,135,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,597,092,016 : 1,839,947,145,656 = 1,839,947,145,656 : x
  2. Step 2: Convert to fraction form
    859,597,092,016/1,839,947,145,656 = 1,839,947,145,656/x
  3. Step 3: Cross multiply
    859,597,092,016x = 1,839,947,145,656 × 1,839,947,145,656
  4. Step 4: Simplify right side
    859,597,092,016x = 3,385,405,498,807,661,939,916,800
  5. Step 5: Solve for x
    x = 3,385,405,498,807,661,939,916,800/859,597,092,016
  6. Step 6: Final answer
    x = 3,938,363,135,766.23

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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.