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Finding the Third Proportional to 858,285,994 and 1,853,782,136

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Solution

The third proportional to 858,285,994 and 1,853,782,136 is: 4,003,919,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,285,994 : 1,853,782,136 = 1,853,782,136 : x
  2. Step 2: Convert to fraction form
    858,285,994/1,853,782,136 = 1,853,782,136/x
  3. Step 3: Cross multiply
    858,285,994x = 1,853,782,136 × 1,853,782,136
  4. Step 4: Simplify right side
    858,285,994x = 3,436,508,207,752,722,432
  5. Step 5: Solve for x
    x = 3,436,508,207,752,722,432/858,285,994
  6. Step 6: Final answer
    x = 4,003,919,709.49

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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.