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Finding the Third Proportional to 6,337,104 and 13,684,302

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Solution

The third proportional to 6,337,104 and 13,684,302 is: 29,549,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,104 : 13,684,302 = 13,684,302 : x
  2. Step 2: Convert to fraction form
    6,337,104/13,684,302 = 13,684,302/x
  3. Step 3: Cross multiply
    6,337,104x = 13,684,302 × 13,684,302
  4. Step 4: Simplify right side
    6,337,104x = 187,260,121,227,204
  5. Step 5: Solve for x
    x = 187,260,121,227,204/6,337,104
  6. Step 6: Final answer
    x = 29,549,794.55

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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.