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Finding the Third Proportional to 5,982,032 and 13,046,752

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Solution

The third proportional to 5,982,032 and 13,046,752 is: 28,454,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982,032 : 13,046,752 = 13,046,752 : x
  2. Step 2: Convert to fraction form
    5,982,032/13,046,752 = 13,046,752/x
  3. Step 3: Cross multiply
    5,982,032x = 13,046,752 × 13,046,752
  4. Step 4: Simplify right side
    5,982,032x = 170,217,737,749,504
  5. Step 5: Solve for x
    x = 170,217,737,749,504/5,982,032
  6. Step 6: Final answer
    x = 28,454,835.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.