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Finding the Third Proportional to 12,931,969.50 and 19,451,945.25

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Solution

The third proportional to 12,931,969.50 and 19,451,945.25 is: 29,259,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931,969.50 : 19,451,945.25 = 19,451,945.25 : x
  2. Step 2: Convert to fraction form
    12,931,969.50/19,451,945.25 = 19,451,945.25/x
  3. Step 3: Cross multiply
    12,931,969.50x = 19,451,945.25 × 19,451,945.25
  4. Step 4: Simplify right side
    12,931,969.50x = 378,378,174,008,997.56
  5. Step 5: Solve for x
    x = 378,378,174,008,997.56/12,931,969.50
  6. Step 6: Final answer
    x = 29,259,129.79

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