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Finding the Third Proportional to 7,568,034 and 16,544,496

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Solution

The third proportional to 7,568,034 and 16,544,496 is: 36,167,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568,034 : 16,544,496 = 16,544,496 : x
  2. Step 2: Convert to fraction form
    7,568,034/16,544,496 = 16,544,496/x
  3. Step 3: Cross multiply
    7,568,034x = 16,544,496 × 16,544,496
  4. Step 4: Simplify right side
    7,568,034x = 273,720,347,894,016
  5. Step 5: Solve for x
    x = 273,720,347,894,016/7,568,034
  6. Step 6: Final answer
    x = 36,167,959.59

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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.