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Finding the Third Proportional to 11,586,825.98 and 17,529,365.67

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Solution

The third proportional to 11,586,825.98 and 17,529,365.67 is: 26,519,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586,825.98 : 17,529,365.67 = 17,529,365.67 : x
  2. Step 2: Convert to fraction form
    11,586,825.98/17,529,365.67 = 17,529,365.67/x
  3. Step 3: Cross multiply
    11,586,825.98x = 17,529,365.67 × 17,529,365.67
  4. Step 4: Simplify right side
    11,586,825.98x = 307,278,660,858,309.69
  5. Step 5: Solve for x
    x = 307,278,660,858,309.69/11,586,825.98
  6. Step 6: Final answer
    x = 26,519,657.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.