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Finding the Third Proportional to 121,133,667,180 and 265,064,027,493

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Solution

The third proportional to 121,133,667,180 and 265,064,027,493 is: 580,011,654,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,133,667,180 : 265,064,027,493 = 265,064,027,493 : x
  2. Step 2: Convert to fraction form
    121,133,667,180/265,064,027,493 = 265,064,027,493/x
  3. Step 3: Cross multiply
    121,133,667,180x = 265,064,027,493 × 265,064,027,493
  4. Step 4: Simplify right side
    121,133,667,180x = 70,258,938,670,809,863,946,240
  5. Step 5: Solve for x
    x = 70,258,938,670,809,863,946,240/121,133,667,180
  6. Step 6: Final answer
    x = 580,011,654,120.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.