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Finding the Third Proportional to 305,845,325,844 and 479,781,068,220

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Solution

The third proportional to 305,845,325,844 and 479,781,068,220 is: 752,634,923,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,845,325,844 : 479,781,068,220 = 479,781,068,220 : x
  2. Step 2: Convert to fraction form
    305,845,325,844/479,781,068,220 = 479,781,068,220/x
  3. Step 3: Cross multiply
    305,845,325,844x = 479,781,068,220 × 479,781,068,220
  4. Step 4: Simplify right side
    305,845,325,844x = 230,189,873,422,324,310,474,752
  5. Step 5: Solve for x
    x = 230,189,873,422,324,310,474,752/305,845,325,844
  6. Step 6: Final answer
    x = 752,634,923,509.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.