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Finding the Third Proportional to 11,203,584 and 24,517,056

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Solution

The third proportional to 11,203,584 and 24,517,056 is: 53,651,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203,584 : 24,517,056 = 24,517,056 : x
  2. Step 2: Convert to fraction form
    11,203,584/24,517,056 = 24,517,056/x
  3. Step 3: Cross multiply
    11,203,584x = 24,517,056 × 24,517,056
  4. Step 4: Simplify right side
    11,203,584x = 601,086,034,907,136
  5. Step 5: Solve for x
    x = 601,086,034,907,136/11,203,584
  6. Step 6: Final answer
    x = 53,651,227.58

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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.