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Finding the Third Proportional to 823,511,488.50 and 1,810,254,825

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Solution

The third proportional to 823,511,488.50 and 1,810,254,825 is: 3,979,328,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,511,488.50 : 1,810,254,825 = 1,810,254,825 : x
  2. Step 2: Convert to fraction form
    823,511,488.50/1,810,254,825 = 1,810,254,825/x
  3. Step 3: Cross multiply
    823,511,488.50x = 1,810,254,825 × 1,810,254,825
  4. Step 4: Simplify right side
    823,511,488.50x = 3,277,022,531,435,780,608
  5. Step 5: Solve for x
    x = 3,277,022,531,435,780,608/823,511,488.50
  6. Step 6: Final answer
    x = 3,979,328,251.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.