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Finding the Third Proportional to 822,166,380 and 1,940,229,207

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Solution

The third proportional to 822,166,380 and 1,940,229,207 is: 4,578,743,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,166,380 : 1,940,229,207 = 1,940,229,207 : x
  2. Step 2: Convert to fraction form
    822,166,380/1,940,229,207 = 1,940,229,207/x
  3. Step 3: Cross multiply
    822,166,380x = 1,940,229,207 × 1,940,229,207
  4. Step 4: Simplify right side
    822,166,380x = 3,764,489,375,695,848,960
  5. Step 5: Solve for x
    x = 3,764,489,375,695,848,960/822,166,380
  6. Step 6: Final answer
    x = 4,578,743,995.46

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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.