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Finding the Third Proportional to 367,222,180 and 806,586,353

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Solution

The third proportional to 367,222,180 and 806,586,353 is: 1,771,629,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,222,180 : 806,586,353 = 806,586,353 : x
  2. Step 2: Convert to fraction form
    367,222,180/806,586,353 = 806,586,353/x
  3. Step 3: Cross multiply
    367,222,180x = 806,586,353 × 806,586,353
  4. Step 4: Simplify right side
    367,222,180x = 650,581,544,845,840,640
  5. Step 5: Solve for x
    x = 650,581,544,845,840,640/367,222,180
  6. Step 6: Final answer
    x = 1,771,629,221.43

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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.