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Finding the Third Proportional to 4,622,113 and 10,306,380

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Solution

The third proportional to 4,622,113 and 10,306,380 is: 22,981,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622,113 : 10,306,380 = 10,306,380 : x
  2. Step 2: Convert to fraction form
    4,622,113/10,306,380 = 10,306,380/x
  3. Step 3: Cross multiply
    4,622,113x = 10,306,380 × 10,306,380
  4. Step 4: Simplify right side
    4,622,113x = 106,221,468,704,400
  5. Step 5: Solve for x
    x = 106,221,468,704,400/4,622,113
  6. Step 6: Final answer
    x = 22,981,149.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.