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Finding the Third Proportional to 266,367,424,512 and 628,579,449,369

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Solution

The third proportional to 266,367,424,512 and 628,579,449,369 is: 1,483,335,001,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,367,424,512 : 628,579,449,369 = 628,579,449,369 : x
  2. Step 2: Convert to fraction form
    266,367,424,512/628,579,449,369 = 628,579,449,369/x
  3. Step 3: Cross multiply
    266,367,424,512x = 628,579,449,369 × 628,579,449,369
  4. Step 4: Simplify right side
    266,367,424,512x = 395,112,124,169,035,202,953,216
  5. Step 5: Solve for x
    x = 395,112,124,169,035,202,953,216/266,367,424,512
  6. Step 6: Final answer
    x = 1,483,335,001,991.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.