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Finding the Third Proportional to 3,173,196 and 6,976,247

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Solution

The third proportional to 3,173,196 and 6,976,247 is: 15,337,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173,196 : 6,976,247 = 6,976,247 : x
  2. Step 2: Convert to fraction form
    3,173,196/6,976,247 = 6,976,247/x
  3. Step 3: Cross multiply
    3,173,196x = 6,976,247 × 6,976,247
  4. Step 4: Simplify right side
    3,173,196x = 48,668,022,205,009
  5. Step 5: Solve for x
    x = 48,668,022,205,009/3,173,196
  6. Step 6: Final answer
    x = 15,337,225.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.