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Finding the Third Proportional to 6,209,286 and 13,572,876

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Solution

The third proportional to 6,209,286 and 13,572,876 is: 29,668,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209,286 : 13,572,876 = 13,572,876 : x
  2. Step 2: Convert to fraction form
    6,209,286/13,572,876 = 13,572,876/x
  3. Step 3: Cross multiply
    6,209,286x = 13,572,876 × 13,572,876
  4. Step 4: Simplify right side
    6,209,286x = 184,222,962,911,376
  5. Step 5: Solve for x
    x = 184,222,962,911,376/6,209,286
  6. Step 6: Final answer
    x = 29,668,944.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.