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Finding the Third Proportional to 23,497,821 and 34,224,189

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Solution

The third proportional to 23,497,821 and 34,224,189 is: 49,846,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497,821 : 34,224,189 = 34,224,189 : x
  2. Step 2: Convert to fraction form
    23,497,821/34,224,189 = 34,224,189/x
  3. Step 3: Cross multiply
    23,497,821x = 34,224,189 × 34,224,189
  4. Step 4: Simplify right side
    23,497,821x = 1,171,295,112,707,721
  5. Step 5: Solve for x
    x = 1,171,295,112,707,721/23,497,821
  6. Step 6: Final answer
    x = 49,846,967.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.