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Finding the Third Proportional to 3,846,107 and 8,207,052

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Solution

The third proportional to 3,846,107 and 8,207,052 is: 17,512,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,107 : 8,207,052 = 8,207,052 : x
  2. Step 2: Convert to fraction form
    3,846,107/8,207,052 = 8,207,052/x
  3. Step 3: Cross multiply
    3,846,107x = 8,207,052 × 8,207,052
  4. Step 4: Simplify right side
    3,846,107x = 67,355,702,530,704
  5. Step 5: Solve for x
    x = 67,355,702,530,704/3,846,107
  6. Step 6: Final answer
    x = 17,512,695.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.