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Finding the Third Proportional to 11,219,716 and 24,210,902

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Solution

The third proportional to 11,219,716 and 24,210,902 is: 52,244,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219,716 : 24,210,902 = 24,210,902 : x
  2. Step 2: Convert to fraction form
    11,219,716/24,210,902 = 24,210,902/x
  3. Step 3: Cross multiply
    11,219,716x = 24,210,902 × 24,210,902
  4. Step 4: Simplify right side
    11,219,716x = 586,167,775,653,604
  5. Step 5: Solve for x
    x = 586,167,775,653,604/11,219,716
  6. Step 6: Final answer
    x = 52,244,439.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.