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Finding the Third Proportional to 54,942,180,672 and 119,011,872,912

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Solution

The third proportional to 54,942,180,672 and 119,011,872,912 is: 257,795,116,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942,180,672 : 119,011,872,912 = 119,011,872,912 : x
  2. Step 2: Convert to fraction form
    54,942,180,672/119,011,872,912 = 119,011,872,912/x
  3. Step 3: Cross multiply
    54,942,180,672x = 119,011,872,912 × 119,011,872,912
  4. Step 4: Simplify right side
    54,942,180,672x = 14,163,825,894,022,040,256,512
  5. Step 5: Solve for x
    x = 14,163,825,894,022,040,256,512/54,942,180,672
  6. Step 6: Final answer
    x = 257,795,116,989.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.