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Finding the Third Proportional to 10,505,949 and 23,004,864

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Solution

The third proportional to 10,505,949 and 23,004,864 is: 50,373,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,949 : 23,004,864 = 23,004,864 : x
  2. Step 2: Convert to fraction form
    10,505,949/23,004,864 = 23,004,864/x
  3. Step 3: Cross multiply
    10,505,949x = 23,004,864 × 23,004,864
  4. Step 4: Simplify right side
    10,505,949x = 529,223,767,658,496
  5. Step 5: Solve for x
    x = 529,223,767,658,496/10,505,949
  6. Step 6: Final answer
    x = 50,373,723.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.