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Finding the Third Proportional to 9,836,641 and 20,163,170

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Solution

The third proportional to 9,836,641 and 20,163,170 is: 41,330,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836,641 : 20,163,170 = 20,163,170 : x
  2. Step 2: Convert to fraction form
    9,836,641/20,163,170 = 20,163,170/x
  3. Step 3: Cross multiply
    9,836,641x = 20,163,170 × 20,163,170
  4. Step 4: Simplify right side
    9,836,641x = 406,553,424,448,900
  5. Step 5: Solve for x
    x = 406,553,424,448,900/9,836,641
  6. Step 6: Final answer
    x = 41,330,513.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.