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Finding the Third Proportional to 6,311,985 and 13,632,876

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Solution

The third proportional to 6,311,985 and 13,632,876 is: 29,444,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311,985 : 13,632,876 = 13,632,876 : x
  2. Step 2: Convert to fraction form
    6,311,985/13,632,876 = 13,632,876/x
  3. Step 3: Cross multiply
    6,311,985x = 13,632,876 × 13,632,876
  4. Step 4: Simplify right side
    6,311,985x = 185,855,308,031,376
  5. Step 5: Solve for x
    x = 185,855,308,031,376/6,311,985
  6. Step 6: Final answer
    x = 29,444,827.27

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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.