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Finding the Third Proportional to 6,810,419 and 14,451,034

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Solution

The third proportional to 6,810,419 and 14,451,034 is: 30,663,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,419 : 14,451,034 = 14,451,034 : x
  2. Step 2: Convert to fraction form
    6,810,419/14,451,034 = 14,451,034/x
  3. Step 3: Cross multiply
    6,810,419x = 14,451,034 × 14,451,034
  4. Step 4: Simplify right side
    6,810,419x = 208,832,383,669,156
  5. Step 5: Solve for x
    x = 208,832,383,669,156/6,810,419
  6. Step 6: Final answer
    x = 30,663,661.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.