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Finding the Third Proportional to 11,180,460 and 23,825,112

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Solution

The third proportional to 11,180,460 and 23,825,112 is: 50,770,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180,460 : 23,825,112 = 23,825,112 : x
  2. Step 2: Convert to fraction form
    11,180,460/23,825,112 = 23,825,112/x
  3. Step 3: Cross multiply
    11,180,460x = 23,825,112 × 23,825,112
  4. Step 4: Simplify right side
    11,180,460x = 567,635,961,812,544
  5. Step 5: Solve for x
    x = 567,635,961,812,544/11,180,460
  6. Step 6: Final answer
    x = 50,770,358.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.