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Finding the Third Proportional to 557,033,866,144 and 836,140,379,696

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Solution

The third proportional to 557,033,866,144 and 836,140,379,696 is: 1,255,095,564,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,033,866,144 : 836,140,379,696 = 836,140,379,696 : x
  2. Step 2: Convert to fraction form
    557,033,866,144/836,140,379,696 = 836,140,379,696/x
  3. Step 3: Cross multiply
    557,033,866,144x = 836,140,379,696 × 836,140,379,696
  4. Step 4: Simplify right side
    557,033,866,144x = 699,130,734,558,170,983,694,336
  5. Step 5: Solve for x
    x = 699,130,734,558,170,983,694,336/557,033,866,144
  6. Step 6: Final answer
    x = 1,255,095,564,292.74

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