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Finding the Third Proportional to 6,511,972 and 14,144,936

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Solution

The third proportional to 6,511,972 and 14,144,936 is: 30,724,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,972 : 14,144,936 = 14,144,936 : x
  2. Step 2: Convert to fraction form
    6,511,972/14,144,936 = 14,144,936/x
  3. Step 3: Cross multiply
    6,511,972x = 14,144,936 × 14,144,936
  4. Step 4: Simplify right side
    6,511,972x = 200,079,214,444,096
  5. Step 5: Solve for x
    x = 200,079,214,444,096/6,511,972
  6. Step 6: Final answer
    x = 30,724,827.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.