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Finding the Third Proportional to 236,482,589,256 and 489,727,891,824

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Solution

The third proportional to 236,482,589,256 and 489,727,891,824 is: 1,014,169,410,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,482,589,256 : 489,727,891,824 = 489,727,891,824 : x
  2. Step 2: Convert to fraction form
    236,482,589,256/489,727,891,824 = 489,727,891,824/x
  3. Step 3: Cross multiply
    236,482,589,256x = 489,727,891,824 × 489,727,891,824
  4. Step 4: Simplify right side
    236,482,589,256x = 239,833,408,030,379,442,438,144
  5. Step 5: Solve for x
    x = 239,833,408,030,379,442,438,144/236,482,589,256
  6. Step 6: Final answer
    x = 1,014,169,410,039.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.