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Finding the Third Proportional to 3,281,269.50 and 5,135,624.44

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Solution

The third proportional to 3,281,269.50 and 5,135,624.44 is: 8,037,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,269.50 : 5,135,624.44 = 5,135,624.44 : x
  2. Step 2: Convert to fraction form
    3,281,269.50/5,135,624.44 = 5,135,624.44/x
  3. Step 3: Cross multiply
    3,281,269.50x = 5,135,624.44 × 5,135,624.44
  4. Step 4: Simplify right side
    3,281,269.50x = 26,374,638,363,047.19
  5. Step 5: Solve for x
    x = 26,374,638,363,047.19/3,281,269.50
  6. Step 6: Final answer
    x = 8,037,937.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.