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Finding the Third Proportional to 13,770,373.36 and 20,832,665.27

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Solution

The third proportional to 13,770,373.36 and 20,832,665.27 is: 31,516,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770,373.36 : 20,832,665.27 = 20,832,665.27 : x
  2. Step 2: Convert to fraction form
    13,770,373.36/20,832,665.27 = 20,832,665.27/x
  3. Step 3: Cross multiply
    13,770,373.36x = 20,832,665.27 × 20,832,665.27
  4. Step 4: Simplify right side
    13,770,373.36x = 433,999,942,395,109.56
  5. Step 5: Solve for x
    x = 433,999,942,395,109.56/13,770,373.36
  6. Step 6: Final answer
    x = 31,516,933.57

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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.