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Finding the Third Proportional to 13,223,704.50 and 20,433,991.50

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Solution

The third proportional to 13,223,704.50 and 20,433,991.50 is: 31,575,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223,704.50 : 20,433,991.50 = 20,433,991.50 : x
  2. Step 2: Convert to fraction form
    13,223,704.50/20,433,991.50 = 20,433,991.50/x
  3. Step 3: Cross multiply
    13,223,704.50x = 20,433,991.50 × 20,433,991.50
  4. Step 4: Simplify right side
    13,223,704.50x = 417,548,008,622,072.25
  5. Step 5: Solve for x
    x = 417,548,008,622,072.25/13,223,704.50
  6. Step 6: Final answer
    x = 31,575,721.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.