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Finding the Third Proportional to 47,510,876 and 73,449,678

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Solution

The third proportional to 47,510,876 and 73,449,678 is: 113,549,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,510,876 : 73,449,678 = 73,449,678 : x
  2. Step 2: Convert to fraction form
    47,510,876/73,449,678 = 73,449,678/x
  3. Step 3: Cross multiply
    47,510,876x = 73,449,678 × 73,449,678
  4. Step 4: Simplify right side
    47,510,876x = 5,394,855,198,303,684
  5. Step 5: Solve for x
    x = 5,394,855,198,303,684/47,510,876
  6. Step 6: Final answer
    x = 113,549,899.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.