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Finding the Third Proportional to 11,453,938 and 24,701,174

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Solution

The third proportional to 11,453,938 and 24,701,174 is: 53,269,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453,938 : 24,701,174 = 24,701,174 : x
  2. Step 2: Convert to fraction form
    11,453,938/24,701,174 = 24,701,174/x
  3. Step 3: Cross multiply
    11,453,938x = 24,701,174 × 24,701,174
  4. Step 4: Simplify right side
    11,453,938x = 610,147,996,978,276
  5. Step 5: Solve for x
    x = 610,147,996,978,276/11,453,938
  6. Step 6: Final answer
    x = 53,269,713.61

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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.