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Finding the Third Proportional to 237,418,976,256 and 512,029,269,696

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Solution

The third proportional to 237,418,976,256 and 512,029,269,696 is: 1,104,267,136,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,418,976,256 : 512,029,269,696 = 512,029,269,696 : x
  2. Step 2: Convert to fraction form
    237,418,976,256/512,029,269,696 = 512,029,269,696/x
  3. Step 3: Cross multiply
    237,418,976,256x = 512,029,269,696 × 512,029,269,696
  4. Step 4: Simplify right side
    237,418,976,256x = 262,173,973,025,419,113,267,200
  5. Step 5: Solve for x
    x = 262,173,973,025,419,113,267,200/237,418,976,256
  6. Step 6: Final answer
    x = 1,104,267,136,350.24

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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.