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Finding the Third Proportional to 11,288,733.75 and 24,769,935

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Solution

The third proportional to 11,288,733.75 and 24,769,935 is: 54,350,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288,733.75 : 24,769,935 = 24,769,935 : x
  2. Step 2: Convert to fraction form
    11,288,733.75/24,769,935 = 24,769,935/x
  3. Step 3: Cross multiply
    11,288,733.75x = 24,769,935 × 24,769,935
  4. Step 4: Simplify right side
    11,288,733.75x = 613,549,679,904,225
  5. Step 5: Solve for x
    x = 613,549,679,904,225/11,288,733.75
  6. Step 6: Final answer
    x = 54,350,620.14

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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.