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Finding the Third Proportional to 3,214,184.06 and 6,864,277.78

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Solution

The third proportional to 3,214,184.06 and 6,864,277.78 is: 14,659,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,184.06 : 6,864,277.78 = 6,864,277.78 : x
  2. Step 2: Convert to fraction form
    3,214,184.06/6,864,277.78 = 6,864,277.78/x
  3. Step 3: Cross multiply
    3,214,184.06x = 6,864,277.78 × 6,864,277.78
  4. Step 4: Simplify right side
    3,214,184.06x = 47,118,309,458,162.42
  5. Step 5: Solve for x
    x = 47,118,309,458,162.42/3,214,184.06
  6. Step 6: Final answer
    x = 14,659,493.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.