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Finding the Third Proportional to 9,691,796.50 and 15,205,657

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Solution

The third proportional to 9,691,796.50 and 15,205,657 is: 23,856,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,796.50 : 15,205,657 = 15,205,657 : x
  2. Step 2: Convert to fraction form
    9,691,796.50/15,205,657 = 15,205,657/x
  3. Step 3: Cross multiply
    9,691,796.50x = 15,205,657 × 15,205,657
  4. Step 4: Simplify right side
    9,691,796.50x = 231,212,004,801,649
  5. Step 5: Solve for x
    x = 231,212,004,801,649/9,691,796.50
  6. Step 6: Final answer
    x = 23,856,465.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.