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Finding the Third Proportional to 9,198,162 and 19,348,884

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Solution

The third proportional to 9,198,162 and 19,348,884 is: 40,701,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,162 : 19,348,884 = 19,348,884 : x
  2. Step 2: Convert to fraction form
    9,198,162/19,348,884 = 19,348,884/x
  3. Step 3: Cross multiply
    9,198,162x = 19,348,884 × 19,348,884
  4. Step 4: Simplify right side
    9,198,162x = 374,379,312,045,456
  5. Step 5: Solve for x
    x = 374,379,312,045,456/9,198,162
  6. Step 6: Final answer
    x = 40,701,534.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.