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Finding the Third Proportional to 2,761,921,152 and 5,915,612,736

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Solution

The third proportional to 2,761,921,152 and 5,915,612,736 is: 12,670,337,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761,921,152 : 5,915,612,736 = 5,915,612,736 : x
  2. Step 2: Convert to fraction form
    2,761,921,152/5,915,612,736 = 5,915,612,736/x
  3. Step 3: Cross multiply
    2,761,921,152x = 5,915,612,736 × 5,915,612,736
  4. Step 4: Simplify right side
    2,761,921,152x = 34,994,474,042,325,405,696
  5. Step 5: Solve for x
    x = 34,994,474,042,325,405,696/2,761,921,152
  6. Step 6: Final answer
    x = 12,670,337,825.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.