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Finding the Third Proportional to 48,751,468,730 and 68,652,810,832

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Solution

The third proportional to 48,751,468,730 and 68,652,810,832 is: 96,678,285,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,751,468,730 : 68,652,810,832 = 68,652,810,832 : x
  2. Step 2: Convert to fraction form
    48,751,468,730/68,652,810,832 = 68,652,810,832/x
  3. Step 3: Cross multiply
    48,751,468,730x = 68,652,810,832 × 68,652,810,832
  4. Step 4: Simplify right side
    48,751,468,730x = 4,713,208,435,134,376,706,048
  5. Step 5: Solve for x
    x = 4,713,208,435,134,376,706,048/48,751,468,730
  6. Step 6: Final answer
    x = 96,678,285,965.86

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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.