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Finding the Third Proportional to 5,111,919 and 10,942,086

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Solution

The third proportional to 5,111,919 and 10,942,086 is: 23,421,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111,919 : 10,942,086 = 10,942,086 : x
  2. Step 2: Convert to fraction form
    5,111,919/10,942,086 = 10,942,086/x
  3. Step 3: Cross multiply
    5,111,919x = 10,942,086 × 10,942,086
  4. Step 4: Simplify right side
    5,111,919x = 119,729,246,031,396
  5. Step 5: Solve for x
    x = 119,729,246,031,396/5,111,919
  6. Step 6: Final answer
    x = 23,421,585.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.