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Finding the Third Proportional to 310,211,504 and 672,122,824

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Solution

The third proportional to 310,211,504 and 672,122,824 is: 1,456,261,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,211,504 : 672,122,824 = 672,122,824 : x
  2. Step 2: Convert to fraction form
    310,211,504/672,122,824 = 672,122,824/x
  3. Step 3: Cross multiply
    310,211,504x = 672,122,824 × 672,122,824
  4. Step 4: Simplify right side
    310,211,504x = 451,749,090,541,734,976
  5. Step 5: Solve for x
    x = 451,749,090,541,734,976/310,211,504
  6. Step 6: Final answer
    x = 1,456,261,565.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.