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Finding the Third Proportional to 800,378,334 and 1,734,342,678

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Solution

The third proportional to 800,378,334 and 1,734,342,678 is: 3,758,153,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,378,334 : 1,734,342,678 = 1,734,342,678 : x
  2. Step 2: Convert to fraction form
    800,378,334/1,734,342,678 = 1,734,342,678/x
  3. Step 3: Cross multiply
    800,378,334x = 1,734,342,678 × 1,734,342,678
  4. Step 4: Simplify right side
    800,378,334x = 3,007,944,524,732,211,712
  5. Step 5: Solve for x
    x = 3,007,944,524,732,211,712/800,378,334
  6. Step 6: Final answer
    x = 3,758,153,359.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.