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Finding the Third Proportional to 352,919,314 and 533,917,986

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Solution

The third proportional to 352,919,314 and 533,917,986 is: 807,743,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,919,314 : 533,917,986 = 533,917,986 : x
  2. Step 2: Convert to fraction form
    352,919,314/533,917,986 = 533,917,986/x
  3. Step 3: Cross multiply
    352,919,314x = 533,917,986 × 533,917,986
  4. Step 4: Simplify right side
    352,919,314x = 285,068,415,774,296,192
  5. Step 5: Solve for x
    x = 285,068,415,774,296,192/352,919,314
  6. Step 6: Final answer
    x = 807,743,879.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.