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Finding the Third Proportional to 2,216,646 and 4,786,911

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Solution

The third proportional to 2,216,646 and 4,786,911 is: 10,337,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,646 : 4,786,911 = 4,786,911 : x
  2. Step 2: Convert to fraction form
    2,216,646/4,786,911 = 4,786,911/x
  3. Step 3: Cross multiply
    2,216,646x = 4,786,911 × 4,786,911
  4. Step 4: Simplify right side
    2,216,646x = 22,914,516,921,921
  5. Step 5: Solve for x
    x = 22,914,516,921,921/2,216,646
  6. Step 6: Final answer
    x = 10,337,472.43

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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.