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Finding the Third Proportional to 7,988,682 and 17,472,046.50

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Solution

The third proportional to 7,988,682 and 17,472,046.50 is: 38,213,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988,682 : 17,472,046.50 = 17,472,046.50 : x
  2. Step 2: Convert to fraction form
    7,988,682/17,472,046.50 = 17,472,046.50/x
  3. Step 3: Cross multiply
    7,988,682x = 17,472,046.50 × 17,472,046.50
  4. Step 4: Simplify right side
    7,988,682x = 305,272,408,898,162.25
  5. Step 5: Solve for x
    x = 305,272,408,898,162.25/7,988,682
  6. Step 6: Final answer
    x = 38,213,113.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.