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Finding the Third Proportional to 71,972,763 and 155,414,058

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Solution

The third proportional to 71,972,763 and 155,414,058 is: 335,592,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972,763 : 155,414,058 = 155,414,058 : x
  2. Step 2: Convert to fraction form
    71,972,763/155,414,058 = 155,414,058/x
  3. Step 3: Cross multiply
    71,972,763x = 155,414,058 × 155,414,058
  4. Step 4: Simplify right side
    71,972,763x = 24,153,529,424,027,364
  5. Step 5: Solve for x
    x = 24,153,529,424,027,364/71,972,763
  6. Step 6: Final answer
    x = 335,592,638.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.