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Finding the Third Proportional to 6,318,105 and 13,644,900

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Solution

The third proportional to 6,318,105 and 13,644,900 is: 29,468,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318,105 : 13,644,900 = 13,644,900 : x
  2. Step 2: Convert to fraction form
    6,318,105/13,644,900 = 13,644,900/x
  3. Step 3: Cross multiply
    6,318,105x = 13,644,900 × 13,644,900
  4. Step 4: Simplify right side
    6,318,105x = 186,183,296,010,000
  5. Step 5: Solve for x
    x = 186,183,296,010,000/6,318,105
  6. Step 6: Final answer
    x = 29,468,218.08

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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.