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Finding the Third Proportional to 3,828,416 and 8,411,568

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Solution

The third proportional to 3,828,416 and 8,411,568 is: 18,481,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,416 : 8,411,568 = 8,411,568 : x
  2. Step 2: Convert to fraction form
    3,828,416/8,411,568 = 8,411,568/x
  3. Step 3: Cross multiply
    3,828,416x = 8,411,568 × 8,411,568
  4. Step 4: Simplify right side
    3,828,416x = 70,754,476,218,624
  5. Step 5: Solve for x
    x = 70,754,476,218,624/3,828,416
  6. Step 6: Final answer
    x = 18,481,397.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.