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Finding the Third Proportional to 4,993,564 and 7,542,824

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Solution

The third proportional to 4,993,564 and 7,542,824 is: 11,393,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993,564 : 7,542,824 = 7,542,824 : x
  2. Step 2: Convert to fraction form
    4,993,564/7,542,824 = 7,542,824/x
  3. Step 3: Cross multiply
    4,993,564x = 7,542,824 × 7,542,824
  4. Step 4: Simplify right side
    4,993,564x = 56,894,193,894,976
  5. Step 5: Solve for x
    x = 56,894,193,894,976/4,993,564
  6. Step 6: Final answer
    x = 11,393,504.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.