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Finding the Third Proportional to 236,771,976,198 and 552,487,036,395

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Solution

The third proportional to 236,771,976,198 and 552,487,036,395 is: 1,289,180,967,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,771,976,198 : 552,487,036,395 = 552,487,036,395 : x
  2. Step 2: Convert to fraction form
    236,771,976,198/552,487,036,395 = 552,487,036,395/x
  3. Step 3: Cross multiply
    236,771,976,198x = 552,487,036,395 × 552,487,036,395
  4. Step 4: Simplify right side
    236,771,976,198x = 305,241,925,384,530,049,368,064
  5. Step 5: Solve for x
    x = 305,241,925,384,530,049,368,064/236,771,976,198
  6. Step 6: Final answer
    x = 1,289,180,967,638.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.