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Finding the Third Proportional to 10,505,972 and 23,004,936

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Solution

The third proportional to 10,505,972 and 23,004,936 is: 50,373,928.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,972 : 23,004,936 = 23,004,936 : x
  2. Step 2: Convert to fraction form
    10,505,972/23,004,936 = 23,004,936/x
  3. Step 3: Cross multiply
    10,505,972x = 23,004,936 × 23,004,936
  4. Step 4: Simplify right side
    10,505,972x = 529,227,080,364,096
  5. Step 5: Solve for x
    x = 529,227,080,364,096/10,505,972
  6. Step 6: Final answer
    x = 50,373,928.31

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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.