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Finding the Third Proportional to 2,855,966 and 6,182,166

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Solution

The third proportional to 2,855,966 and 6,182,166 is: 13,382,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855,966 : 6,182,166 = 6,182,166 : x
  2. Step 2: Convert to fraction form
    2,855,966/6,182,166 = 6,182,166/x
  3. Step 3: Cross multiply
    2,855,966x = 6,182,166 × 6,182,166
  4. Step 4: Simplify right side
    2,855,966x = 38,219,176,451,556
  5. Step 5: Solve for x
    x = 38,219,176,451,556/2,855,966
  6. Step 6: Final answer
    x = 13,382,223.90

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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.