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Finding the Third Proportional to 23,675,217.75 and 50,874,948

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Solution

The third proportional to 23,675,217.75 and 50,874,948 is: 109,323,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675,217.75 : 50,874,948 = 50,874,948 : x
  2. Step 2: Convert to fraction form
    23,675,217.75/50,874,948 = 50,874,948/x
  3. Step 3: Cross multiply
    23,675,217.75x = 50,874,948 × 50,874,948
  4. Step 4: Simplify right side
    23,675,217.75x = 2,588,260,334,002,704
  5. Step 5: Solve for x
    x = 2,588,260,334,002,704/23,675,217.75
  6. Step 6: Final answer
    x = 109,323,612.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.