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Finding the Third Proportional to 822,166,384 and 1,940,229,217

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Solution

The third proportional to 822,166,384 and 1,940,229,217 is: 4,578,744,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,166,384 : 1,940,229,217 = 1,940,229,217 : x
  2. Step 2: Convert to fraction form
    822,166,384/1,940,229,217 = 1,940,229,217/x
  3. Step 3: Cross multiply
    822,166,384x = 1,940,229,217 × 1,940,229,217
  4. Step 4: Simplify right side
    822,166,384x = 3,764,489,414,500,432,896
  5. Step 5: Solve for x
    x = 3,764,489,414,500,432,896/822,166,384
  6. Step 6: Final answer
    x = 4,578,744,020.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.