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Finding the Third Proportional to 12,197,397 and 16,260,990

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Solution

The third proportional to 12,197,397 and 16,260,990 is: 21,678,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197,397 : 16,260,990 = 16,260,990 : x
  2. Step 2: Convert to fraction form
    12,197,397/16,260,990 = 16,260,990/x
  3. Step 3: Cross multiply
    12,197,397x = 16,260,990 × 16,260,990
  4. Step 4: Simplify right side
    12,197,397x = 264,419,795,780,100
  5. Step 5: Solve for x
    x = 264,419,795,780,100/12,197,397
  6. Step 6: Final answer
    x = 21,678,379.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.