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Finding the Third Proportional to 5,877,234.50 and 9,081,824

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Solution

The third proportional to 5,877,234.50 and 9,081,824 is: 14,033,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,234.50 : 9,081,824 = 9,081,824 : x
  2. Step 2: Convert to fraction form
    5,877,234.50/9,081,824 = 9,081,824/x
  3. Step 3: Cross multiply
    5,877,234.50x = 9,081,824 × 9,081,824
  4. Step 4: Simplify right side
    5,877,234.50x = 82,479,527,166,976
  5. Step 5: Solve for x
    x = 82,479,527,166,976/5,877,234.50
  6. Step 6: Final answer
    x = 14,033,730.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.