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Finding the Third Proportional to 9,500,024 and 19,933,168

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Solution

The third proportional to 9,500,024 and 19,933,168 is: 41,824,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500,024 : 19,933,168 = 19,933,168 : x
  2. Step 2: Convert to fraction form
    9,500,024/19,933,168 = 19,933,168/x
  3. Step 3: Cross multiply
    9,500,024x = 19,933,168 × 19,933,168
  4. Step 4: Simplify right side
    9,500,024x = 397,331,186,516,224
  5. Step 5: Solve for x
    x = 397,331,186,516,224/9,500,024
  6. Step 6: Final answer
    x = 41,824,229.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.