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Finding the Third Proportional to 6,286,086 and 13,723,644

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Solution

The third proportional to 6,286,086 and 13,723,644 is: 29,961,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,086 : 13,723,644 = 13,723,644 : x
  2. Step 2: Convert to fraction form
    6,286,086/13,723,644 = 13,723,644/x
  3. Step 3: Cross multiply
    6,286,086x = 13,723,644 × 13,723,644
  4. Step 4: Simplify right side
    6,286,086x = 188,338,404,638,736
  5. Step 5: Solve for x
    x = 188,338,404,638,736/6,286,086
  6. Step 6: Final answer
    x = 29,961,156.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.