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Finding the Third Proportional to 67,062,015,904 and 136,094,615,036

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Solution

The third proportional to 67,062,015,904 and 136,094,615,036 is: 276,188,301,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,062,015,904 : 136,094,615,036 = 136,094,615,036 : x
  2. Step 2: Convert to fraction form
    67,062,015,904/136,094,615,036 = 136,094,615,036/x
  3. Step 3: Cross multiply
    67,062,015,904x = 136,094,615,036 × 136,094,615,036
  4. Step 4: Simplify right side
    67,062,015,904x = 18,521,744,241,797,036,507,136
  5. Step 5: Solve for x
    x = 18,521,744,241,797,036,507,136/67,062,015,904
  6. Step 6: Final answer
    x = 276,188,301,113.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.