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Finding the Third Proportional to 453,144,067 and 699,733,714

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Solution

The third proportional to 453,144,067 and 699,733,714 is: 1,080,511,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,144,067 : 699,733,714 = 699,733,714 : x
  2. Step 2: Convert to fraction form
    453,144,067/699,733,714 = 699,733,714/x
  3. Step 3: Cross multiply
    453,144,067x = 699,733,714 × 699,733,714
  4. Step 4: Simplify right side
    453,144,067x = 489,627,270,508,233,792
  5. Step 5: Solve for x
    x = 489,627,270,508,233,792/453,144,067
  6. Step 6: Final answer
    x = 1,080,511,268.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.