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Finding the Third Proportional to 4,784,202.56 and 7,200,908.44

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Solution

The third proportional to 4,784,202.56 and 7,200,908.44 is: 10,838,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784,202.56 : 7,200,908.44 = 7,200,908.44 : x
  2. Step 2: Convert to fraction form
    4,784,202.56/7,200,908.44 = 7,200,908.44/x
  3. Step 3: Cross multiply
    4,784,202.56x = 7,200,908.44 × 7,200,908.44
  4. Step 4: Simplify right side
    4,784,202.56x = 51,853,082,325,258.69
  5. Step 5: Solve for x
    x = 51,853,082,325,258.69/4,784,202.56
  6. Step 6: Final answer
    x = 10,838,396.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.