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Finding the Third Proportional to 5,706,839 and 12,644,149

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Solution

The third proportional to 5,706,839 and 12,644,149 is: 28,014,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,839 : 12,644,149 = 12,644,149 : x
  2. Step 2: Convert to fraction form
    5,706,839/12,644,149 = 12,644,149/x
  3. Step 3: Cross multiply
    5,706,839x = 12,644,149 × 12,644,149
  4. Step 4: Simplify right side
    5,706,839x = 159,874,503,934,201
  5. Step 5: Solve for x
    x = 159,874,503,934,201/5,706,839
  6. Step 6: Final answer
    x = 28,014,546.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.