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Finding the Third Proportional to 9,059,285.25 and 13,720,797

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Solution

The third proportional to 9,059,285.25 and 13,720,797 is: 20,780,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059,285.25 : 13,720,797 = 13,720,797 : x
  2. Step 2: Convert to fraction form
    9,059,285.25/13,720,797 = 13,720,797/x
  3. Step 3: Cross multiply
    9,059,285.25x = 13,720,797 × 13,720,797
  4. Step 4: Simplify right side
    9,059,285.25x = 188,260,270,315,209
  5. Step 5: Solve for x
    x = 188,260,270,315,209/9,059,285.25
  6. Step 6: Final answer
    x = 20,780,918.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.