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Finding the Third Proportional to 2,782,571 and 6,442,131

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Solution

The third proportional to 2,782,571 and 6,442,131 is: 14,914,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,571 : 6,442,131 = 6,442,131 : x
  2. Step 2: Convert to fraction form
    2,782,571/6,442,131 = 6,442,131/x
  3. Step 3: Cross multiply
    2,782,571x = 6,442,131 × 6,442,131
  4. Step 4: Simplify right side
    2,782,571x = 41,501,051,821,161
  5. Step 5: Solve for x
    x = 41,501,051,821,161/2,782,571
  6. Step 6: Final answer
    x = 14,914,642.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.