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Finding the Third Proportional to 11,264,805 and 23,126,784.75

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Solution

The third proportional to 11,264,805 and 23,126,784.75 is: 47,479,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264,805 : 23,126,784.75 = 23,126,784.75 : x
  2. Step 2: Convert to fraction form
    11,264,805/23,126,784.75 = 23,126,784.75/x
  3. Step 3: Cross multiply
    11,264,805x = 23,126,784.75 × 23,126,784.75
  4. Step 4: Simplify right side
    11,264,805x = 534,848,172,872,832.56
  5. Step 5: Solve for x
    x = 534,848,172,872,832.56/11,264,805
  6. Step 6: Final answer
    x = 47,479,576.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.