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Finding the Third Proportional to 7,809,666 and 16,882,662

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Solution

The third proportional to 7,809,666 and 16,882,662 is: 36,496,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809,666 : 16,882,662 = 16,882,662 : x
  2. Step 2: Convert to fraction form
    7,809,666/16,882,662 = 16,882,662/x
  3. Step 3: Cross multiply
    7,809,666x = 16,882,662 × 16,882,662
  4. Step 4: Simplify right side
    7,809,666x = 285,024,276,206,244
  5. Step 5: Solve for x
    x = 285,024,276,206,244/7,809,666
  6. Step 6: Final answer
    x = 36,496,346.48

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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.