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Finding the Third Proportional to 9,509,160 and 20,568,168

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Solution

The third proportional to 9,509,160 and 20,568,168 is: 44,488,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509,160 : 20,568,168 = 20,568,168 : x
  2. Step 2: Convert to fraction form
    9,509,160/20,568,168 = 20,568,168/x
  3. Step 3: Cross multiply
    9,509,160x = 20,568,168 × 20,568,168
  4. Step 4: Simplify right side
    9,509,160x = 423,049,534,876,224
  5. Step 5: Solve for x
    x = 423,049,534,876,224/9,509,160
  6. Step 6: Final answer
    x = 44,488,633.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.