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Finding the Third Proportional to 3,837,034 and 8,288,844

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Solution

The third proportional to 3,837,034 and 8,288,844 is: 17,905,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,034 : 8,288,844 = 8,288,844 : x
  2. Step 2: Convert to fraction form
    3,837,034/8,288,844 = 8,288,844/x
  3. Step 3: Cross multiply
    3,837,034x = 8,288,844 × 8,288,844
  4. Step 4: Simplify right side
    3,837,034x = 68,704,934,856,336
  5. Step 5: Solve for x
    x = 68,704,934,856,336/3,837,034
  6. Step 6: Final answer
    x = 17,905,740.44

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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.