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Finding the Third Proportional to 12,119,920 and 25,942,296

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Solution

The third proportional to 12,119,920 and 25,942,296 is: 55,528,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119,920 : 25,942,296 = 25,942,296 : x
  2. Step 2: Convert to fraction form
    12,119,920/25,942,296 = 25,942,296/x
  3. Step 3: Cross multiply
    12,119,920x = 25,942,296 × 25,942,296
  4. Step 4: Simplify right side
    12,119,920x = 673,002,721,751,616
  5. Step 5: Solve for x
    x = 673,002,721,751,616/12,119,920
  6. Step 6: Final answer
    x = 55,528,643.90

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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.