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Finding the Third Proportional to 67,760,507,040 and 102,512,251,200

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Solution

The third proportional to 67,760,507,040 and 102,512,251,200 is: 155,086,821,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,760,507,040 : 102,512,251,200 = 102,512,251,200 : x
  2. Step 2: Convert to fraction form
    67,760,507,040/102,512,251,200 = 102,512,251,200/x
  3. Step 3: Cross multiply
    67,760,507,040x = 102,512,251,200 × 102,512,251,200
  4. Step 4: Simplify right side
    67,760,507,040x = 10,508,761,646,091,900,813,312
  5. Step 5: Solve for x
    x = 10,508,761,646,091,900,813,312/67,760,507,040
  6. Step 6: Final answer
    x = 155,086,821,293.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.