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Finding the Third Proportional to 3,106,529 and 6,644,824

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Solution

The third proportional to 3,106,529 and 6,644,824 is: 14,213,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106,529 : 6,644,824 = 6,644,824 : x
  2. Step 2: Convert to fraction form
    3,106,529/6,644,824 = 6,644,824/x
  3. Step 3: Cross multiply
    3,106,529x = 6,644,824 × 6,644,824
  4. Step 4: Simplify right side
    3,106,529x = 44,153,685,990,976
  5. Step 5: Solve for x
    x = 44,153,685,990,976/3,106,529
  6. Step 6: Final answer
    x = 14,213,189.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.