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Finding the Third Proportional to 9,409,663.50 and 14,384,949

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Solution

The third proportional to 9,409,663.50 and 14,384,949 is: 21,990,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409,663.50 : 14,384,949 = 14,384,949 : x
  2. Step 2: Convert to fraction form
    9,409,663.50/14,384,949 = 14,384,949/x
  3. Step 3: Cross multiply
    9,409,663.50x = 14,384,949 × 14,384,949
  4. Step 4: Simplify right side
    9,409,663.50x = 206,926,757,732,601
  5. Step 5: Solve for x
    x = 206,926,757,732,601/9,409,663.50
  6. Step 6: Final answer
    x = 21,990,877.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.