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Finding the Third Proportional to 3,220,201.50 and 6,944,842.31

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Solution

The third proportional to 3,220,201.50 and 6,944,842.31 is: 14,977,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,201.50 : 6,944,842.31 = 6,944,842.31 : x
  2. Step 2: Convert to fraction form
    3,220,201.50/6,944,842.31 = 6,944,842.31/x
  3. Step 3: Cross multiply
    3,220,201.50x = 6,944,842.31 × 6,944,842.31
  4. Step 4: Simplify right side
    3,220,201.50x = 48,230,834,745,490.34
  5. Step 5: Solve for x
    x = 48,230,834,745,490.34/3,220,201.50
  6. Step 6: Final answer
    x = 14,977,582.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.