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Finding the Third Proportional to 236,813,182,362 and 511,370,278,974

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Solution

The third proportional to 236,813,182,362 and 511,370,278,974 is: 1,104,244,111,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,813,182,362 : 511,370,278,974 = 511,370,278,974 : x
  2. Step 2: Convert to fraction form
    236,813,182,362/511,370,278,974 = 511,370,278,974/x
  3. Step 3: Cross multiply
    236,813,182,362x = 511,370,278,974 × 511,370,278,974
  4. Step 4: Simplify right side
    236,813,182,362x = 261,499,562,217,946,591,789,056
  5. Step 5: Solve for x
    x = 261,499,562,217,946,591,789,056/236,813,182,362
  6. Step 6: Final answer
    x = 1,104,244,111,791.93

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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.