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Finding the Third Proportional to 237,418,976,236 and 512,029,269,656

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Solution

The third proportional to 237,418,976,236 and 512,029,269,656 is: 1,104,267,136,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,418,976,236 : 512,029,269,656 = 512,029,269,656 : x
  2. Step 2: Convert to fraction form
    237,418,976,236/512,029,269,656 = 512,029,269,656/x
  3. Step 3: Cross multiply
    237,418,976,236x = 512,029,269,656 × 512,029,269,656
  4. Step 4: Simplify right side
    237,418,976,236x = 262,173,972,984,456,768,651,264
  5. Step 5: Solve for x
    x = 262,173,972,984,456,768,651,264/237,418,976,236
  6. Step 6: Final answer
    x = 1,104,267,136,270.73

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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.