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Finding the Third Proportional to 11,723,187 and 24,705,894

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Solution

The third proportional to 11,723,187 and 24,705,894 is: 52,066,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723,187 : 24,705,894 = 24,705,894 : x
  2. Step 2: Convert to fraction form
    11,723,187/24,705,894 = 24,705,894/x
  3. Step 3: Cross multiply
    11,723,187x = 24,705,894 × 24,705,894
  4. Step 4: Simplify right side
    11,723,187x = 610,381,198,339,236
  5. Step 5: Solve for x
    x = 610,381,198,339,236/11,723,187
  6. Step 6: Final answer
    x = 52,066,148.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.