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Finding the Third Proportional to 5,981,796 and 12,973,176

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Solution

The third proportional to 5,981,796 and 12,973,176 is: 28,135,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981,796 : 12,973,176 = 12,973,176 : x
  2. Step 2: Convert to fraction form
    5,981,796/12,973,176 = 12,973,176/x
  3. Step 3: Cross multiply
    5,981,796x = 12,973,176 × 12,973,176
  4. Step 4: Simplify right side
    5,981,796x = 168,303,295,526,976
  5. Step 5: Solve for x
    x = 168,303,295,526,976/5,981,796
  6. Step 6: Final answer
    x = 28,135,913.62

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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.