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Finding the Third Proportional to 3,794,382 and 8,282,178

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Solution

The third proportional to 3,794,382 and 8,282,178 is: 18,077,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794,382 : 8,282,178 = 8,282,178 : x
  2. Step 2: Convert to fraction form
    3,794,382/8,282,178 = 8,282,178/x
  3. Step 3: Cross multiply
    3,794,382x = 8,282,178 × 8,282,178
  4. Step 4: Simplify right side
    3,794,382x = 68,594,472,423,684
  5. Step 5: Solve for x
    x = 68,594,472,423,684/3,794,382
  6. Step 6: Final answer
    x = 18,077,903.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.