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Finding the Third Proportional to 9,424,728 and 14,507,748

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Solution

The third proportional to 9,424,728 and 14,507,748 is: 22,332,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424,728 : 14,507,748 = 14,507,748 : x
  2. Step 2: Convert to fraction form
    9,424,728/14,507,748 = 14,507,748/x
  3. Step 3: Cross multiply
    9,424,728x = 14,507,748 × 14,507,748
  4. Step 4: Simplify right side
    9,424,728x = 210,474,752,031,504
  5. Step 5: Solve for x
    x = 210,474,752,031,504/9,424,728
  6. Step 6: Final answer
    x = 22,332,183.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.