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Finding the Third Proportional to 511,108,182 and 834,505,281

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Solution

The third proportional to 511,108,182 and 834,505,281 is: 1,362,527,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,108,182 : 834,505,281 = 834,505,281 : x
  2. Step 2: Convert to fraction form
    511,108,182/834,505,281 = 834,505,281/x
  3. Step 3: Cross multiply
    511,108,182x = 834,505,281 × 834,505,281
  4. Step 4: Simplify right side
    511,108,182x = 696,399,064,016,888,960
  5. Step 5: Solve for x
    x = 696,399,064,016,888,960/511,108,182
  6. Step 6: Final answer
    x = 1,362,527,716.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.