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Finding the Third Proportional to 9,464,832 and 14,192,640

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Solution

The third proportional to 9,464,832 and 14,192,640 is: 21,282,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464,832 : 14,192,640 = 14,192,640 : x
  2. Step 2: Convert to fraction form
    9,464,832/14,192,640 = 14,192,640/x
  3. Step 3: Cross multiply
    9,464,832x = 14,192,640 × 14,192,640
  4. Step 4: Simplify right side
    9,464,832x = 201,431,030,169,600
  5. Step 5: Solve for x
    x = 201,431,030,169,600/9,464,832
  6. Step 6: Final answer
    x = 21,282,050.24

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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.