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Finding the Third Proportional to 64,676,086,813 and 140,740,831,285

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Solution

The third proportional to 64,676,086,813 and 140,740,831,285 is: 306,264,379,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676,086,813 : 140,740,831,285 = 140,740,831,285 : x
  2. Step 2: Convert to fraction form
    64,676,086,813/140,740,831,285 = 140,740,831,285/x
  3. Step 3: Cross multiply
    64,676,086,813x = 140,740,831,285 × 140,740,831,285
  4. Step 4: Simplify right side
    64,676,086,813x = 19,807,981,590,792,833,597,440
  5. Step 5: Solve for x
    x = 19,807,981,590,792,833,597,440/64,676,086,813
  6. Step 6: Final answer
    x = 306,264,379,415.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.