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Finding the Third Proportional to 626,900,320 and 1,463,914,816

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Solution

The third proportional to 626,900,320 and 1,463,914,816 is: 3,418,480,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,900,320 : 1,463,914,816 = 1,463,914,816 : x
  2. Step 2: Convert to fraction form
    626,900,320/1,463,914,816 = 1,463,914,816/x
  3. Step 3: Cross multiply
    626,900,320x = 1,463,914,816 × 1,463,914,816
  4. Step 4: Simplify right side
    626,900,320x = 2,143,046,588,504,313,856
  5. Step 5: Solve for x
    x = 2,143,046,588,504,313,856/626,900,320
  6. Step 6: Final answer
    x = 3,418,480,610.29

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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.