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Finding the Third Proportional to 266,367,424,510 and 628,579,449,364

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Solution

The third proportional to 266,367,424,510 and 628,579,449,364 is: 1,483,335,001,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,367,424,510 : 628,579,449,364 = 628,579,449,364 : x
  2. Step 2: Convert to fraction form
    266,367,424,510/628,579,449,364 = 628,579,449,364/x
  3. Step 3: Cross multiply
    266,367,424,510x = 628,579,449,364 × 628,579,449,364
  4. Step 4: Simplify right side
    266,367,424,510x = 395,112,124,162,749,451,206,656
  5. Step 5: Solve for x
    x = 395,112,124,162,749,451,206,656/266,367,424,510
  6. Step 6: Final answer
    x = 1,483,335,001,979.25

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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.