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Finding the Third Proportional to 6,320,174 and 14,006,956

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Solution

The third proportional to 6,320,174 and 14,006,956 is: 31,042,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320,174 : 14,006,956 = 14,006,956 : x
  2. Step 2: Convert to fraction form
    6,320,174/14,006,956 = 14,006,956/x
  3. Step 3: Cross multiply
    6,320,174x = 14,006,956 × 14,006,956
  4. Step 4: Simplify right side
    6,320,174x = 196,194,816,385,936
  5. Step 5: Solve for x
    x = 196,194,816,385,936/6,320,174
  6. Step 6: Final answer
    x = 31,042,628.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.