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Finding the Third Proportional to 3,166,643.11 and 6,781,689.56

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Solution

The third proportional to 3,166,643.11 and 6,781,689.56 is: 14,523,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166,643.11 : 6,781,689.56 = 6,781,689.56 : x
  2. Step 2: Convert to fraction form
    3,166,643.11/6,781,689.56 = 6,781,689.56/x
  3. Step 3: Cross multiply
    3,166,643.11x = 6,781,689.56 × 6,781,689.56
  4. Step 4: Simplify right side
    3,166,643.11x = 45,991,313,322,121.44
  5. Step 5: Solve for x
    x = 45,991,313,322,121.44/3,166,643.11
  6. Step 6: Final answer
    x = 14,523,680.67

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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.