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Finding the Third Proportional to 23,982,165 and 52,746,199.88

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Solution

The third proportional to 23,982,165 and 52,746,199.88 is: 116,009,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,982,165 : 52,746,199.88 = 52,746,199.88 : x
  2. Step 2: Convert to fraction form
    23,982,165/52,746,199.88 = 52,746,199.88/x
  3. Step 3: Cross multiply
    23,982,165x = 52,746,199.88 × 52,746,199.88
  4. Step 4: Simplify right side
    23,982,165x = 2,782,161,601,253,450
  5. Step 5: Solve for x
    x = 2,782,161,601,253,450/23,982,165
  6. Step 6: Final answer
    x = 116,009,609.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.