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Finding the Third Proportional to 13,682,872 and 29,747,324

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Solution

The third proportional to 13,682,872 and 29,747,324 is: 64,672,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682,872 : 29,747,324 = 29,747,324 : x
  2. Step 2: Convert to fraction form
    13,682,872/29,747,324 = 29,747,324/x
  3. Step 3: Cross multiply
    13,682,872x = 29,747,324 × 29,747,324
  4. Step 4: Simplify right side
    13,682,872x = 884,903,285,160,976
  5. Step 5: Solve for x
    x = 884,903,285,160,976/13,682,872
  6. Step 6: Final answer
    x = 64,672,335.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.