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Finding the Third Proportional to 75,917,463,444 and 163,260,244,094

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Solution

The third proportional to 75,917,463,444 and 163,260,244,094 is: 351,090,593,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,917,463,444 : 163,260,244,094 = 163,260,244,094 : x
  2. Step 2: Convert to fraction form
    75,917,463,444/163,260,244,094 = 163,260,244,094/x
  3. Step 3: Cross multiply
    75,917,463,444x = 163,260,244,094 × 163,260,244,094
  4. Step 4: Simplify right side
    75,917,463,444x = 26,653,907,301,632,460,193,792
  5. Step 5: Solve for x
    x = 26,653,907,301,632,460,193,792/75,917,463,444
  6. Step 6: Final answer
    x = 351,090,593,553.53

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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.