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Finding the Third Proportional to 236,106,962,744 and 509,836,479,936

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Solution

The third proportional to 236,106,962,744 and 509,836,479,936 is: 1,100,913,049,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,106,962,744 : 509,836,479,936 = 509,836,479,936 : x
  2. Step 2: Convert to fraction form
    236,106,962,744/509,836,479,936 = 509,836,479,936/x
  3. Step 3: Cross multiply
    236,106,962,744x = 509,836,479,936 × 509,836,479,936
  4. Step 4: Simplify right side
    236,106,962,744x = 259,933,236,273,531,328,659,456
  5. Step 5: Solve for x
    x = 259,933,236,273,531,328,659,456/236,106,962,744
  6. Step 6: Final answer
    x = 1,100,913,049,122.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.