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Finding the Third Proportional to 6,838,898 and 14,593,108

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Solution

The third proportional to 6,838,898 and 14,593,108 is: 31,139,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,898 : 14,593,108 = 14,593,108 : x
  2. Step 2: Convert to fraction form
    6,838,898/14,593,108 = 14,593,108/x
  3. Step 3: Cross multiply
    6,838,898x = 14,593,108 × 14,593,108
  4. Step 4: Simplify right side
    6,838,898x = 212,958,801,099,664
  5. Step 5: Solve for x
    x = 212,958,801,099,664/6,838,898
  6. Step 6: Final answer
    x = 31,139,344.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.