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Finding the Third Proportional to 7,729,120.50 and 11,775,009

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Solution

The third proportional to 7,729,120.50 and 11,775,009 is: 17,938,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729,120.50 : 11,775,009 = 11,775,009 : x
  2. Step 2: Convert to fraction form
    7,729,120.50/11,775,009 = 11,775,009/x
  3. Step 3: Cross multiply
    7,729,120.50x = 11,775,009 × 11,775,009
  4. Step 4: Simplify right side
    7,729,120.50x = 138,650,836,950,081
  5. Step 5: Solve for x
    x = 138,650,836,950,081/7,729,120.50
  6. Step 6: Final answer
    x = 17,938,759.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.