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Finding the Third Proportional to 3,837,000 and 8,288,784

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Solution

The third proportional to 3,837,000 and 8,288,784 is: 17,905,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,000 : 8,288,784 = 8,288,784 : x
  2. Step 2: Convert to fraction form
    3,837,000/8,288,784 = 8,288,784/x
  3. Step 3: Cross multiply
    3,837,000x = 8,288,784 × 8,288,784
  4. Step 4: Simplify right side
    3,837,000x = 68,703,940,198,656
  5. Step 5: Solve for x
    x = 68,703,940,198,656/3,837,000
  6. Step 6: Final answer
    x = 17,905,639.87

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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.