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Finding the Third Proportional to 237,418,976,234 and 512,029,269,652

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Solution

The third proportional to 237,418,976,234 and 512,029,269,652 is: 1,104,267,136,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,418,976,234 : 512,029,269,652 = 512,029,269,652 : x
  2. Step 2: Convert to fraction form
    237,418,976,234/512,029,269,652 = 512,029,269,652/x
  3. Step 3: Cross multiply
    237,418,976,234x = 512,029,269,652 × 512,029,269,652
  4. Step 4: Simplify right side
    237,418,976,234x = 262,173,972,980,360,544,256,000
  5. Step 5: Solve for x
    x = 262,173,972,980,360,544,256,000/237,418,976,234
  6. Step 6: Final answer
    x = 1,104,267,136,262.78

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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.