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Finding the Third Proportional to 14,672,669 and 34,524,171

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Solution

The third proportional to 14,672,669 and 34,524,171 is: 81,233,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672,669 : 34,524,171 = 34,524,171 : x
  2. Step 2: Convert to fraction form
    14,672,669/34,524,171 = 34,524,171/x
  3. Step 3: Cross multiply
    14,672,669x = 34,524,171 × 34,524,171
  4. Step 4: Simplify right side
    14,672,669x = 1,191,918,383,237,241
  5. Step 5: Solve for x
    x = 1,191,918,383,237,241/14,672,669
  6. Step 6: Final answer
    x = 81,233,917.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.