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Finding the Third Proportional to 858,285,992 and 1,853,782,132

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Solution

The third proportional to 858,285,992 and 1,853,782,132 is: 4,003,919,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,285,992 : 1,853,782,132 = 1,853,782,132 : x
  2. Step 2: Convert to fraction form
    858,285,992/1,853,782,132 = 1,853,782,132/x
  3. Step 3: Cross multiply
    858,285,992x = 1,853,782,132 × 1,853,782,132
  4. Step 4: Simplify right side
    858,285,992x = 3,436,508,192,922,465,280
  5. Step 5: Solve for x
    x = 3,436,508,192,922,465,280/858,285,992
  6. Step 6: Final answer
    x = 4,003,919,701.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.