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Finding the Third Proportional to 114,608,380,032 and 246,631,018,752

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Solution

The third proportional to 114,608,380,032 and 246,631,018,752 is: 530,736,577,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,608,380,032 : 246,631,018,752 = 246,631,018,752 : x
  2. Step 2: Convert to fraction form
    114,608,380,032/246,631,018,752 = 246,631,018,752/x
  3. Step 3: Cross multiply
    114,608,380,032x = 246,631,018,752 × 246,631,018,752
  4. Step 4: Simplify right side
    114,608,380,032x = 60,826,859,410,649,377,669,120
  5. Step 5: Solve for x
    x = 60,826,859,410,649,377,669,120/114,608,380,032
  6. Step 6: Final answer
    x = 530,736,577,845.93

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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.