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Finding the Third Proportional to 20,299,310.25 and 47,902,745.63

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Solution

The third proportional to 20,299,310.25 and 47,902,745.63 is: 113,041,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299,310.25 : 47,902,745.63 = 47,902,745.63 : x
  2. Step 2: Convert to fraction form
    20,299,310.25/47,902,745.63 = 47,902,745.63/x
  3. Step 3: Cross multiply
    20,299,310.25x = 47,902,745.63 × 47,902,745.63
  4. Step 4: Simplify right side
    20,299,310.25x = 2,294,673,038,413,456.50
  5. Step 5: Solve for x
    x = 2,294,673,038,413,456.50/20,299,310.25
  6. Step 6: Final answer
    x = 113,041,921.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.