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Finding the Third Proportional to 9,507,744 and 14,307,120

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Solution

The third proportional to 9,507,744 and 14,307,120 is: 21,529,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507,744 : 14,307,120 = 14,307,120 : x
  2. Step 2: Convert to fraction form
    9,507,744/14,307,120 = 14,307,120/x
  3. Step 3: Cross multiply
    9,507,744x = 14,307,120 × 14,307,120
  4. Step 4: Simplify right side
    9,507,744x = 204,693,682,694,400
  5. Step 5: Solve for x
    x = 204,693,682,694,400/9,507,744
  6. Step 6: Final answer
    x = 21,529,153.78

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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.