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Finding the Third Proportional to 9,473,344 and 20,836,256

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Solution

The third proportional to 9,473,344 and 20,836,256 is: 45,828,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473,344 : 20,836,256 = 20,836,256 : x
  2. Step 2: Convert to fraction form
    9,473,344/20,836,256 = 20,836,256/x
  3. Step 3: Cross multiply
    9,473,344x = 20,836,256 × 20,836,256
  4. Step 4: Simplify right side
    9,473,344x = 434,149,564,097,536
  5. Step 5: Solve for x
    x = 434,149,564,097,536/9,473,344
  6. Step 6: Final answer
    x = 45,828,544.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.