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Finding the Third Proportional to 23,633,013 and 51,299,420

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Solution

The third proportional to 23,633,013 and 51,299,420 is: 111,353,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633,013 : 51,299,420 = 51,299,420 : x
  2. Step 2: Convert to fraction form
    23,633,013/51,299,420 = 51,299,420/x
  3. Step 3: Cross multiply
    23,633,013x = 51,299,420 × 51,299,420
  4. Step 4: Simplify right side
    23,633,013x = 2,631,630,492,336,400
  5. Step 5: Solve for x
    x = 2,631,630,492,336,400/23,633,013
  6. Step 6: Final answer
    x = 111,353,998.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.