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Finding the Third Proportional to 23,164,224 and 49,918,800

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Solution

The third proportional to 23,164,224 and 49,918,800 is: 107,574,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164,224 : 49,918,800 = 49,918,800 : x
  2. Step 2: Convert to fraction form
    23,164,224/49,918,800 = 49,918,800/x
  3. Step 3: Cross multiply
    23,164,224x = 49,918,800 × 49,918,800
  4. Step 4: Simplify right side
    23,164,224x = 2,491,886,593,440,000
  5. Step 5: Solve for x
    x = 2,491,886,593,440,000/23,164,224
  6. Step 6: Final answer
    x = 107,574,792.64

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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.