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Finding the Third Proportional to 11,199,633 and 24,426,615

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Solution

The third proportional to 11,199,633 and 24,426,615 is: 53,274,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199,633 : 24,426,615 = 24,426,615 : x
  2. Step 2: Convert to fraction form
    11,199,633/24,426,615 = 24,426,615/x
  3. Step 3: Cross multiply
    11,199,633x = 24,426,615 × 24,426,615
  4. Step 4: Simplify right side
    11,199,633x = 596,659,520,358,225
  5. Step 5: Solve for x
    x = 596,659,520,358,225/11,199,633
  6. Step 6: Final answer
    x = 53,274,917.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.