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Finding the Third Proportional to 13,897,170 and 20,048,502.38

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Solution

The third proportional to 13,897,170 and 20,048,502.38 is: 28,922,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897,170 : 20,048,502.38 = 20,048,502.38 : x
  2. Step 2: Convert to fraction form
    13,897,170/20,048,502.38 = 20,048,502.38/x
  3. Step 3: Cross multiply
    13,897,170x = 20,048,502.38 × 20,048,502.38
  4. Step 4: Simplify right side
    13,897,170x = 401,942,447,480,380.62
  5. Step 5: Solve for x
    x = 401,942,447,480,380.62/13,897,170
  6. Step 6: Final answer
    x = 28,922,611.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.