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Finding the Third Proportional to 9,589,745 and 20,400,034

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Solution

The third proportional to 9,589,745 and 20,400,034 is: 43,396,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589,745 : 20,400,034 = 20,400,034 : x
  2. Step 2: Convert to fraction form
    9,589,745/20,400,034 = 20,400,034/x
  3. Step 3: Cross multiply
    9,589,745x = 20,400,034 × 20,400,034
  4. Step 4: Simplify right side
    9,589,745x = 416,161,387,201,156
  5. Step 5: Solve for x
    x = 416,161,387,201,156/9,589,745
  6. Step 6: Final answer
    x = 43,396,501.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.