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Finding the Third Proportional to 20,463,918,138 and 44,531,278,728

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Solution

The third proportional to 20,463,918,138 and 44,531,278,728 is: 96,903,963,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463,918,138 : 44,531,278,728 = 44,531,278,728 : x
  2. Step 2: Convert to fraction form
    20,463,918,138/44,531,278,728 = 44,531,278,728/x
  3. Step 3: Cross multiply
    20,463,918,138x = 44,531,278,728 × 44,531,278,728
  4. Step 4: Simplify right side
    20,463,918,138x = 1,983,034,785,150,825,398,272
  5. Step 5: Solve for x
    x = 1,983,034,785,150,825,398,272/20,463,918,138
  6. Step 6: Final answer
    x = 96,903,963,931.94

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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.