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Finding the Third Proportional to 9,500,456 and 20,493,904

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Solution

The third proportional to 9,500,456 and 20,493,904 is: 44,208,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500,456 : 20,493,904 = 20,493,904 : x
  2. Step 2: Convert to fraction form
    9,500,456/20,493,904 = 20,493,904/x
  3. Step 3: Cross multiply
    9,500,456x = 20,493,904 × 20,493,904
  4. Step 4: Simplify right side
    9,500,456x = 420,000,101,161,216
  5. Step 5: Solve for x
    x = 420,000,101,161,216/9,500,456
  6. Step 6: Final answer
    x = 44,208,414.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.