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Finding the Third Proportional to 9,449,869 and 20,195,122

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Solution

The third proportional to 9,449,869 and 20,195,122 is: 43,158,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449,869 : 20,195,122 = 20,195,122 : x
  2. Step 2: Convert to fraction form
    9,449,869/20,195,122 = 20,195,122/x
  3. Step 3: Cross multiply
    9,449,869x = 20,195,122 × 20,195,122
  4. Step 4: Simplify right side
    9,449,869x = 407,842,952,594,884
  5. Step 5: Solve for x
    x = 407,842,952,594,884/9,449,869
  6. Step 6: Final answer
    x = 43,158,582.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.