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Finding the Third Proportional to 6,393,434 and 13,693,744

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Solution

The third proportional to 6,393,434 and 13,693,744 is: 29,329,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,434 : 13,693,744 = 13,693,744 : x
  2. Step 2: Convert to fraction form
    6,393,434/13,693,744 = 13,693,744/x
  3. Step 3: Cross multiply
    6,393,434x = 13,693,744 × 13,693,744
  4. Step 4: Simplify right side
    6,393,434x = 187,518,624,737,536
  5. Step 5: Solve for x
    x = 187,518,624,737,536/6,393,434
  6. Step 6: Final answer
    x = 29,329,875.73

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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.