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Finding the Third Proportional to 823,511,493 and 1,810,254,833

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Solution

The third proportional to 823,511,493 and 1,810,254,833 is: 3,979,328,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,511,493 : 1,810,254,833 = 1,810,254,833 : x
  2. Step 2: Convert to fraction form
    823,511,493/1,810,254,833 = 1,810,254,833/x
  3. Step 3: Cross multiply
    823,511,493x = 1,810,254,833 × 1,810,254,833
  4. Step 4: Simplify right side
    823,511,493x = 3,277,022,560,399,857,664
  5. Step 5: Solve for x
    x = 3,277,022,560,399,857,664/823,511,493
  6. Step 6: Final answer
    x = 3,979,328,264.70

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Why These Related Problems?

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