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Finding the Third Proportional to 6,318,106 and 13,644,902

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Solution

The third proportional to 6,318,106 and 13,644,902 is: 29,468,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318,106 : 13,644,902 = 13,644,902 : x
  2. Step 2: Convert to fraction form
    6,318,106/13,644,902 = 13,644,902/x
  3. Step 3: Cross multiply
    6,318,106x = 13,644,902 × 13,644,902
  4. Step 4: Simplify right side
    6,318,106x = 186,183,350,589,604
  5. Step 5: Solve for x
    x = 186,183,350,589,604/6,318,106
  6. Step 6: Final answer
    x = 29,468,222.06

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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.