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Finding the Third Proportional to 9,436,824 and 20,250,000

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Solution

The third proportional to 9,436,824 and 20,250,000 is: 43,453,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436,824 : 20,250,000 = 20,250,000 : x
  2. Step 2: Convert to fraction form
    9,436,824/20,250,000 = 20,250,000/x
  3. Step 3: Cross multiply
    9,436,824x = 20,250,000 × 20,250,000
  4. Step 4: Simplify right side
    9,436,824x = 410,062,500,000,000
  5. Step 5: Solve for x
    x = 410,062,500,000,000/9,436,824
  6. Step 6: Final answer
    x = 43,453,443.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.