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Finding the Third Proportional to 25,690,020.75 and 42,174,027

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Solution

The third proportional to 25,690,020.75 and 42,174,027 is: 69,234,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,690,020.75 : 42,174,027 = 42,174,027 : x
  2. Step 2: Convert to fraction form
    25,690,020.75/42,174,027 = 42,174,027/x
  3. Step 3: Cross multiply
    25,690,020.75x = 42,174,027 × 42,174,027
  4. Step 4: Simplify right side
    25,690,020.75x = 1,778,648,553,396,729
  5. Step 5: Solve for x
    x = 1,778,648,553,396,729/25,690,020.75
  6. Step 6: Final answer
    x = 69,234,998.71

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.