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Finding the Third Proportional to 9,751,057 and 21,000,570

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Solution

The third proportional to 9,751,057 and 21,000,570 is: 45,228,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751,057 : 21,000,570 = 21,000,570 : x
  2. Step 2: Convert to fraction form
    9,751,057/21,000,570 = 21,000,570/x
  3. Step 3: Cross multiply
    9,751,057x = 21,000,570 × 21,000,570
  4. Step 4: Simplify right side
    9,751,057x = 441,023,940,324,900
  5. Step 5: Solve for x
    x = 441,023,940,324,900/9,751,057
  6. Step 6: Final answer
    x = 45,228,321.43

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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.