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Finding the Third Proportional to 9,728,800 and 21,325,568

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Solution

The third proportional to 9,728,800 and 21,325,568 is: 46,745,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728,800 : 21,325,568 = 21,325,568 : x
  2. Step 2: Convert to fraction form
    9,728,800/21,325,568 = 21,325,568/x
  3. Step 3: Cross multiply
    9,728,800x = 21,325,568 × 21,325,568
  4. Step 4: Simplify right side
    9,728,800x = 454,779,850,522,624
  5. Step 5: Solve for x
    x = 454,779,850,522,624/9,728,800
  6. Step 6: Final answer
    x = 46,745,729.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.