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Finding the Third Proportional to 69,452,771 and 102,171,652

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Solution

The third proportional to 69,452,771 and 102,171,652 is: 150,304,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,452,771 : 102,171,652 = 102,171,652 : x
  2. Step 2: Convert to fraction form
    69,452,771/102,171,652 = 102,171,652/x
  3. Step 3: Cross multiply
    69,452,771x = 102,171,652 × 102,171,652
  4. Step 4: Simplify right side
    69,452,771x = 10,439,046,472,409,104
  5. Step 5: Solve for x
    x = 10,439,046,472,409,104/69,452,771
  6. Step 6: Final answer
    x = 150,304,247.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.