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Finding the Third Proportional to 13,259,004.75 and 20,456,231.06

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Solution

The third proportional to 13,259,004.75 and 20,456,231.06 is: 31,560,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259,004.75 : 20,456,231.06 = 20,456,231.06 : x
  2. Step 2: Convert to fraction form
    13,259,004.75/20,456,231.06 = 20,456,231.06/x
  3. Step 3: Cross multiply
    13,259,004.75x = 20,456,231.06 × 20,456,231.06
  4. Step 4: Simplify right side
    13,259,004.75x = 418,457,389,282,389.88
  5. Step 5: Solve for x
    x = 418,457,389,282,389.88/13,259,004.75
  6. Step 6: Final answer
    x = 31,560,241.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.