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Finding the Third Proportional to 3,254,193 and 6,777,733

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Solution

The third proportional to 3,254,193 and 6,777,733 is: 14,116,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254,193 : 6,777,733 = 6,777,733 : x
  2. Step 2: Convert to fraction form
    3,254,193/6,777,733 = 6,777,733/x
  3. Step 3: Cross multiply
    3,254,193x = 6,777,733 × 6,777,733
  4. Step 4: Simplify right side
    3,254,193x = 45,937,664,619,289
  5. Step 5: Solve for x
    x = 45,937,664,619,289/3,254,193
  6. Step 6: Final answer
    x = 14,116,453.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.