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Finding the Third Proportional to 3,213,702 and 6,693,732

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Solution

The third proportional to 3,213,702 and 6,693,732 is: 13,942,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,702 : 6,693,732 = 6,693,732 : x
  2. Step 2: Convert to fraction form
    3,213,702/6,693,732 = 6,693,732/x
  3. Step 3: Cross multiply
    3,213,702x = 6,693,732 × 6,693,732
  4. Step 4: Simplify right side
    3,213,702x = 44,806,048,087,824
  5. Step 5: Solve for x
    x = 44,806,048,087,824/3,213,702
  6. Step 6: Final answer
    x = 13,942,191.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.