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Finding the Third Proportional to 12,923,976 and 20,275,596

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Solution

The third proportional to 12,923,976 and 20,275,596 is: 31,809,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923,976 : 20,275,596 = 20,275,596 : x
  2. Step 2: Convert to fraction form
    12,923,976/20,275,596 = 20,275,596/x
  3. Step 3: Cross multiply
    12,923,976x = 20,275,596 × 20,275,596
  4. Step 4: Simplify right side
    12,923,976x = 411,099,793,155,216
  5. Step 5: Solve for x
    x = 411,099,793,155,216/12,923,976
  6. Step 6: Final answer
    x = 31,809,080.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.