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Finding the Third Proportional to 14,451,863 and 21,135,229

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Solution

The third proportional to 14,451,863 and 21,135,229 is: 30,909,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451,863 : 21,135,229 = 21,135,229 : x
  2. Step 2: Convert to fraction form
    14,451,863/21,135,229 = 21,135,229/x
  3. Step 3: Cross multiply
    14,451,863x = 21,135,229 × 21,135,229
  4. Step 4: Simplify right side
    14,451,863x = 446,697,904,882,441
  5. Step 5: Solve for x
    x = 446,697,904,882,441/14,451,863
  6. Step 6: Final answer
    x = 30,909,364.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.