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Finding the Third Proportional to 4,267,160 and 9,245,824

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Solution

The third proportional to 4,267,160 and 9,245,824 is: 20,033,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267,160 : 9,245,824 = 9,245,824 : x
  2. Step 2: Convert to fraction form
    4,267,160/9,245,824 = 9,245,824/x
  3. Step 3: Cross multiply
    4,267,160x = 9,245,824 × 9,245,824
  4. Step 4: Simplify right side
    4,267,160x = 85,485,261,438,976
  5. Step 5: Solve for x
    x = 85,485,261,438,976/4,267,160
  6. Step 6: Final answer
    x = 20,033,291.80

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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.