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Finding the Third Proportional to 769,474,194 and 1,560,359,910

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Solution

The third proportional to 769,474,194 and 1,560,359,910 is: 3,164,138,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,474,194 : 1,560,359,910 = 1,560,359,910 : x
  2. Step 2: Convert to fraction form
    769,474,194/1,560,359,910 = 1,560,359,910/x
  3. Step 3: Cross multiply
    769,474,194x = 1,560,359,910 × 1,560,359,910
  4. Step 4: Simplify right side
    769,474,194x = 2,434,723,048,735,207,936
  5. Step 5: Solve for x
    x = 2,434,723,048,735,207,936/769,474,194
  6. Step 6: Final answer
    x = 3,164,138,664.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.