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Finding the Third Proportional to 48,751,468,760 and 68,652,810,874

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Solution

The third proportional to 48,751,468,760 and 68,652,810,874 is: 96,678,286,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,751,468,760 : 68,652,810,874 = 68,652,810,874 : x
  2. Step 2: Convert to fraction form
    48,751,468,760/68,652,810,874 = 68,652,810,874/x
  3. Step 3: Cross multiply
    48,751,468,760x = 68,652,810,874 × 68,652,810,874
  4. Step 4: Simplify right side
    48,751,468,760x = 4,713,208,440,901,212,831,744
  5. Step 5: Solve for x
    x = 4,713,208,440,901,212,831,744/48,751,468,760
  6. Step 6: Final answer
    x = 96,678,286,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.