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Finding the Third Proportional to 237,418,976,240 and 512,029,269,664

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Solution

The third proportional to 237,418,976,240 and 512,029,269,664 is: 1,104,267,136,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,418,976,240 : 512,029,269,664 = 512,029,269,664 : x
  2. Step 2: Convert to fraction form
    237,418,976,240/512,029,269,664 = 512,029,269,664/x
  3. Step 3: Cross multiply
    237,418,976,240x = 512,029,269,664 × 512,029,269,664
  4. Step 4: Simplify right side
    237,418,976,240x = 262,173,972,992,649,217,441,792
  5. Step 5: Solve for x
    x = 262,173,972,992,649,217,441,792/237,418,976,240
  6. Step 6: Final answer
    x = 1,104,267,136,286.63

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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.