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Finding the Third Proportional to 75,917,463,447 and 163,260,244,086

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Solution

The third proportional to 75,917,463,447 and 163,260,244,086 is: 351,090,593,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,917,463,447 : 163,260,244,086 = 163,260,244,086 : x
  2. Step 2: Convert to fraction form
    75,917,463,447/163,260,244,086 = 163,260,244,086/x
  3. Step 3: Cross multiply
    75,917,463,447x = 163,260,244,086 × 163,260,244,086
  4. Step 4: Simplify right side
    75,917,463,447x = 26,653,907,299,020,297,994,240
  5. Step 5: Solve for x
    x = 26,653,907,299,020,297,994,240/75,917,463,447
  6. Step 6: Final answer
    x = 351,090,593,505.25

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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.