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Finding the Third Proportional to 268,174,048 and 410,058,462

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Solution

The third proportional to 268,174,048 and 410,058,462 is: 627,010,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,174,048 : 410,058,462 = 410,058,462 : x
  2. Step 2: Convert to fraction form
    268,174,048/410,058,462 = 410,058,462/x
  3. Step 3: Cross multiply
    268,174,048x = 410,058,462 × 410,058,462
  4. Step 4: Simplify right side
    268,174,048x = 168,147,942,257,805,440
  5. Step 5: Solve for x
    x = 168,147,942,257,805,440/268,174,048
  6. Step 6: Final answer
    x = 627,010,493.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.