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Finding the Third Proportional to 12,162,475 and 16,382,025

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Solution

The third proportional to 12,162,475 and 16,382,025 is: 22,065,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162,475 : 16,382,025 = 16,382,025 : x
  2. Step 2: Convert to fraction form
    12,162,475/16,382,025 = 16,382,025/x
  3. Step 3: Cross multiply
    12,162,475x = 16,382,025 × 16,382,025
  4. Step 4: Simplify right side
    12,162,475x = 268,370,743,100,625
  5. Step 5: Solve for x
    x = 268,370,743,100,625/12,162,475
  6. Step 6: Final answer
    x = 22,065,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.