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Finding the Third Proportional to 6,593,767 and 13,896,013

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Solution

The third proportional to 6,593,767 and 13,896,013 is: 29,285,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,767 : 13,896,013 = 13,896,013 : x
  2. Step 2: Convert to fraction form
    6,593,767/13,896,013 = 13,896,013/x
  3. Step 3: Cross multiply
    6,593,767x = 13,896,013 × 13,896,013
  4. Step 4: Simplify right side
    6,593,767x = 193,099,177,296,169
  5. Step 5: Solve for x
    x = 193,099,177,296,169/6,593,767
  6. Step 6: Final answer
    x = 29,285,107.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.