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Finding the Third Proportional to 127,542,177,908 and 274,012,025,580

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Solution

The third proportional to 127,542,177,908 and 274,012,025,580 is: 588,688,317,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,542,177,908 : 274,012,025,580 = 274,012,025,580 : x
  2. Step 2: Convert to fraction form
    127,542,177,908/274,012,025,580 = 274,012,025,580/x
  3. Step 3: Cross multiply
    127,542,177,908x = 274,012,025,580 × 274,012,025,580
  4. Step 4: Simplify right side
    127,542,177,908x = 75,082,590,162,454,572,957,696
  5. Step 5: Solve for x
    x = 75,082,590,162,454,572,957,696/127,542,177,908
  6. Step 6: Final answer
    x = 588,688,317,809.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.