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Finding the Third Proportional to 367,222,178 and 806,586,349

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Solution

The third proportional to 367,222,178 and 806,586,349 is: 1,771,629,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,222,178 : 806,586,349 = 806,586,349 : x
  2. Step 2: Convert to fraction form
    367,222,178/806,586,349 = 806,586,349/x
  3. Step 3: Cross multiply
    367,222,178x = 806,586,349 × 806,586,349
  4. Step 4: Simplify right side
    367,222,178x = 650,581,538,393,149,824
  5. Step 5: Solve for x
    x = 650,581,538,393,149,824/367,222,178
  6. Step 6: Final answer
    x = 1,771,629,213.51

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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.