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Finding the Third Proportional to 9,311,710 and 20,354,876

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Solution

The third proportional to 9,311,710 and 20,354,876 is: 44,494,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311,710 : 20,354,876 = 20,354,876 : x
  2. Step 2: Convert to fraction form
    9,311,710/20,354,876 = 20,354,876/x
  3. Step 3: Cross multiply
    9,311,710x = 20,354,876 × 20,354,876
  4. Step 4: Simplify right side
    9,311,710x = 414,320,976,975,376
  5. Step 5: Solve for x
    x = 414,320,976,975,376/9,311,710
  6. Step 6: Final answer
    x = 44,494,617.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.