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Finding the Third Proportional to 9,463,172.25 and 14,178,720

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Solution

The third proportional to 9,463,172.25 and 14,178,720 is: 21,244,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463,172.25 : 14,178,720 = 14,178,720 : x
  2. Step 2: Convert to fraction form
    9,463,172.25/14,178,720 = 14,178,720/x
  3. Step 3: Cross multiply
    9,463,172.25x = 14,178,720 × 14,178,720
  4. Step 4: Simplify right side
    9,463,172.25x = 201,036,100,838,400
  5. Step 5: Solve for x
    x = 201,036,100,838,400/9,463,172.25
  6. Step 6: Final answer
    x = 21,244,049.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.