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Finding the Third Proportional to 3,416,377.50 and 5,238,720.56

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Solution

The third proportional to 3,416,377.50 and 5,238,720.56 is: 8,033,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416,377.50 : 5,238,720.56 = 5,238,720.56 : x
  2. Step 2: Convert to fraction form
    3,416,377.50/5,238,720.56 = 5,238,720.56/x
  3. Step 3: Cross multiply
    3,416,377.50x = 5,238,720.56 × 5,238,720.56
  4. Step 4: Simplify right side
    3,416,377.50x = 27,444,193,131,960.32
  5. Step 5: Solve for x
    x = 27,444,193,131,960.32/3,416,377.50
  6. Step 6: Final answer
    x = 8,033,126.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.