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Finding the Third Proportional to 4,622,103 and 10,306,359

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Solution

The third proportional to 4,622,103 and 10,306,359 is: 22,981,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622,103 : 10,306,359 = 10,306,359 : x
  2. Step 2: Convert to fraction form
    4,622,103/10,306,359 = 10,306,359/x
  3. Step 3: Cross multiply
    4,622,103x = 10,306,359 × 10,306,359
  4. Step 4: Simplify right side
    4,622,103x = 106,221,035,836,881
  5. Step 5: Solve for x
    x = 106,221,035,836,881/4,622,103
  6. Step 6: Final answer
    x = 22,981,105.32

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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.