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Finding the Third Proportional to 367,222,176 and 806,586,345

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Solution

The third proportional to 367,222,176 and 806,586,345 is: 1,771,629,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,222,176 : 806,586,345 = 806,586,345 : x
  2. Step 2: Convert to fraction form
    367,222,176/806,586,345 = 806,586,345/x
  3. Step 3: Cross multiply
    367,222,176x = 806,586,345 × 806,586,345
  4. Step 4: Simplify right side
    367,222,176x = 650,581,531,940,459,008
  5. Step 5: Solve for x
    x = 650,581,531,940,459,008/367,222,176
  6. Step 6: Final answer
    x = 1,771,629,205.59

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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.