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Finding the Third Proportional to 3,238,845.75 and 6,876,211.50

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Solution

The third proportional to 3,238,845.75 and 6,876,211.50 is: 14,598,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,845.75 : 6,876,211.50 = 6,876,211.50 : x
  2. Step 2: Convert to fraction form
    3,238,845.75/6,876,211.50 = 6,876,211.50/x
  3. Step 3: Cross multiply
    3,238,845.75x = 6,876,211.50 × 6,876,211.50
  4. Step 4: Simplify right side
    3,238,845.75x = 47,282,284,592,732.25
  5. Step 5: Solve for x
    x = 47,282,284,592,732.25/3,238,845.75
  6. Step 6: Final answer
    x = 14,598,498.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.