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Finding the Third Proportional to 3,226,431.50 and 7,021,847

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Solution

The third proportional to 3,226,431.50 and 7,021,847 is: 15,282,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226,431.50 : 7,021,847 = 7,021,847 : x
  2. Step 2: Convert to fraction form
    3,226,431.50/7,021,847 = 7,021,847/x
  3. Step 3: Cross multiply
    3,226,431.50x = 7,021,847 × 7,021,847
  4. Step 4: Simplify right side
    3,226,431.50x = 49,306,335,291,409
  5. Step 5: Solve for x
    x = 49,306,335,291,409/3,226,431.50
  6. Step 6: Final answer
    x = 15,282,002.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.