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Finding the Third Proportional to 13,747,296 and 20,200,032

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Solution

The third proportional to 13,747,296 and 20,200,032 is: 29,681,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747,296 : 20,200,032 = 20,200,032 : x
  2. Step 2: Convert to fraction form
    13,747,296/20,200,032 = 20,200,032/x
  3. Step 3: Cross multiply
    13,747,296x = 20,200,032 × 20,200,032
  4. Step 4: Simplify right side
    13,747,296x = 408,041,292,801,024
  5. Step 5: Solve for x
    x = 408,041,292,801,024/13,747,296
  6. Step 6: Final answer
    x = 29,681,567.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.