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Finding the Third Proportional to 4,934,540 and 11,422,750

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Solution

The third proportional to 4,934,540 and 11,422,750 is: 26,442,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934,540 : 11,422,750 = 11,422,750 : x
  2. Step 2: Convert to fraction form
    4,934,540/11,422,750 = 11,422,750/x
  3. Step 3: Cross multiply
    4,934,540x = 11,422,750 × 11,422,750
  4. Step 4: Simplify right side
    4,934,540x = 130,479,217,562,500
  5. Step 5: Solve for x
    x = 130,479,217,562,500/4,934,540
  6. Step 6: Final answer
    x = 26,442,022.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.