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Finding the Third Proportional to 7,024,002 and 15,324,232

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Solution

The third proportional to 7,024,002 and 15,324,232 is: 33,432,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024,002 : 15,324,232 = 15,324,232 : x
  2. Step 2: Convert to fraction form
    7,024,002/15,324,232 = 15,324,232/x
  3. Step 3: Cross multiply
    7,024,002x = 15,324,232 × 15,324,232
  4. Step 4: Simplify right side
    7,024,002x = 234,832,086,389,824
  5. Step 5: Solve for x
    x = 234,832,086,389,824/7,024,002
  6. Step 6: Final answer
    x = 33,432,804.60

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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.