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Finding the Third Proportional to 11,380,431 and 17,071,010.50

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Solution

The third proportional to 11,380,431 and 17,071,010.50 is: 25,607,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380,431 : 17,071,010.50 = 17,071,010.50 : x
  2. Step 2: Convert to fraction form
    11,380,431/17,071,010.50 = 17,071,010.50/x
  3. Step 3: Cross multiply
    11,380,431x = 17,071,010.50 × 17,071,010.50
  4. Step 4: Simplify right side
    11,380,431x = 291,419,399,491,110.25
  5. Step 5: Solve for x
    x = 291,419,399,491,110.25/11,380,431
  6. Step 6: Final answer
    x = 25,607,061.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.