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Finding the Third Proportional to 4,622,058 and 10,306,296

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Solution

The third proportional to 4,622,058 and 10,306,296 is: 22,981,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622,058 : 10,306,296 = 10,306,296 : x
  2. Step 2: Convert to fraction form
    4,622,058/10,306,296 = 10,306,296/x
  3. Step 3: Cross multiply
    4,622,058x = 10,306,296 × 10,306,296
  4. Step 4: Simplify right side
    4,622,058x = 106,219,737,239,616
  5. Step 5: Solve for x
    x = 106,219,737,239,616/4,622,058
  6. Step 6: Final answer
    x = 22,981,048.10

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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.