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Finding the Third Proportional to 5,200,372.50 and 8,083,806

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Solution

The third proportional to 5,200,372.50 and 8,083,806 is: 12,566,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,372.50 : 8,083,806 = 8,083,806 : x
  2. Step 2: Convert to fraction form
    5,200,372.50/8,083,806 = 8,083,806/x
  3. Step 3: Cross multiply
    5,200,372.50x = 8,083,806 × 8,083,806
  4. Step 4: Simplify right side
    5,200,372.50x = 65,347,919,445,636
  5. Step 5: Solve for x
    x = 65,347,919,445,636/5,200,372.50
  6. Step 6: Final answer
    x = 12,566,007.42

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