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Finding the Third Proportional to 4,194,198,607 and 6,285,162,646

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Solution

The third proportional to 4,194,198,607 and 6,285,162,646 is: 9,418,550,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,198,607 : 6,285,162,646 = 6,285,162,646 : x
  2. Step 2: Convert to fraction form
    4,194,198,607/6,285,162,646 = 6,285,162,646/x
  3. Step 3: Cross multiply
    4,194,198,607x = 6,285,162,646 × 6,285,162,646
  4. Step 4: Simplify right side
    4,194,198,607x = 39,503,269,486,673,723,392
  5. Step 5: Solve for x
    x = 39,503,269,486,673,723,392/4,194,198,607
  6. Step 6: Final answer
    x = 9,418,550,046.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.