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Finding the Third Proportional to 3,444,819 and 8,046,096

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Solution

The third proportional to 3,444,819 and 8,046,096 is: 18,793,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444,819 : 8,046,096 = 8,046,096 : x
  2. Step 2: Convert to fraction form
    3,444,819/8,046,096 = 8,046,096/x
  3. Step 3: Cross multiply
    3,444,819x = 8,046,096 × 8,046,096
  4. Step 4: Simplify right side
    3,444,819x = 64,739,660,841,216
  5. Step 5: Solve for x
    x = 64,739,660,841,216/3,444,819
  6. Step 6: Final answer
    x = 18,793,341.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.