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Finding the Third Proportional to 626,900,328 and 1,463,914,836

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Solution

The third proportional to 626,900,328 and 1,463,914,836 is: 3,418,480,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,900,328 : 1,463,914,836 = 1,463,914,836 : x
  2. Step 2: Convert to fraction form
    626,900,328/1,463,914,836 = 1,463,914,836/x
  3. Step 3: Cross multiply
    626,900,328x = 1,463,914,836 × 1,463,914,836
  4. Step 4: Simplify right side
    626,900,328x = 2,143,046,647,060,907,008
  5. Step 5: Solve for x
    x = 2,143,046,647,060,907,008/626,900,328
  6. Step 6: Final answer
    x = 3,418,480,660.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.