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Finding the Third Proportional to 11,946,914 and 18,373,731

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Solution

The third proportional to 11,946,914 and 18,373,731 is: 28,257,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946,914 : 18,373,731 = 18,373,731 : x
  2. Step 2: Convert to fraction form
    11,946,914/18,373,731 = 18,373,731/x
  3. Step 3: Cross multiply
    11,946,914x = 18,373,731 × 18,373,731
  4. Step 4: Simplify right side
    11,946,914x = 337,593,990,860,361
  5. Step 5: Solve for x
    x = 337,593,990,860,361/11,946,914
  6. Step 6: Final answer
    x = 28,257,840.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.