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Finding the Third Proportional to 21,822,701 and 32,825,161

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Solution

The third proportional to 21,822,701 and 32,825,161 is: 49,374,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822,701 : 32,825,161 = 32,825,161 : x
  2. Step 2: Convert to fraction form
    21,822,701/32,825,161 = 32,825,161/x
  3. Step 3: Cross multiply
    21,822,701x = 32,825,161 × 32,825,161
  4. Step 4: Simplify right side
    21,822,701x = 1,077,491,194,675,921
  5. Step 5: Solve for x
    x = 1,077,491,194,675,921/21,822,701
  6. Step 6: Final answer
    x = 49,374,786.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.