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Finding the Third Proportional to 8,382,664 and 18,334,568

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Solution

The third proportional to 8,382,664 and 18,334,568 is: 40,101,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382,664 : 18,334,568 = 18,334,568 : x
  2. Step 2: Convert to fraction form
    8,382,664/18,334,568 = 18,334,568/x
  3. Step 3: Cross multiply
    8,382,664x = 18,334,568 × 18,334,568
  4. Step 4: Simplify right side
    8,382,664x = 336,156,383,746,624
  5. Step 5: Solve for x
    x = 336,156,383,746,624/8,382,664
  6. Step 6: Final answer
    x = 40,101,378.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.