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Finding the Third Proportional to 2,510,276,852 and 5,472,544,912

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Solution

The third proportional to 2,510,276,852 and 5,472,544,912 is: 11,930,456,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,276,852 : 5,472,544,912 = 5,472,544,912 : x
  2. Step 2: Convert to fraction form
    2,510,276,852/5,472,544,912 = 5,472,544,912/x
  3. Step 3: Cross multiply
    2,510,276,852x = 5,472,544,912 × 5,472,544,912
  4. Step 4: Simplify right side
    2,510,276,852x = 29,948,747,813,857,087,488
  5. Step 5: Solve for x
    x = 29,948,747,813,857,087,488/2,510,276,852
  6. Step 6: Final answer
    x = 11,930,456,112.84

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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.