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Finding the Third Proportional to 3,667,104.56 and 7,965,285.19

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Solution

The third proportional to 3,667,104.56 and 7,965,285.19 is: 17,301,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667,104.56 : 7,965,285.19 = 7,965,285.19 : x
  2. Step 2: Convert to fraction form
    3,667,104.56/7,965,285.19 = 7,965,285.19/x
  3. Step 3: Cross multiply
    3,667,104.56x = 7,965,285.19 × 7,965,285.19
  4. Step 4: Simplify right side
    3,667,104.56x = 63,445,768,118,206.91
  5. Step 5: Solve for x
    x = 63,445,768,118,206.91/3,667,104.56
  6. Step 6: Final answer
    x = 17,301,325.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.