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Finding the Third Proportional to 23,633,011 and 51,299,416

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Solution

The third proportional to 23,633,011 and 51,299,416 is: 111,353,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633,011 : 51,299,416 = 51,299,416 : x
  2. Step 2: Convert to fraction form
    23,633,011/51,299,416 = 51,299,416/x
  3. Step 3: Cross multiply
    23,633,011x = 51,299,416 × 51,299,416
  4. Step 4: Simplify right side
    23,633,011x = 2,631,630,081,941,056
  5. Step 5: Solve for x
    x = 2,631,630,081,941,056/23,633,011
  6. Step 6: Final answer
    x = 111,353,990.48

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Why These Related Problems?

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