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Finding the Third Proportional to 511,543,460,694 and 1,100,671,933,152

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Solution

The third proportional to 511,543,460,694 and 1,100,671,933,152 is: 2,368,281,089,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,543,460,694 : 1,100,671,933,152 = 1,100,671,933,152 : x
  2. Step 2: Convert to fraction form
    511,543,460,694/1,100,671,933,152 = 1,100,671,933,152/x
  3. Step 3: Cross multiply
    511,543,460,694x = 1,100,671,933,152 × 1,100,671,933,152
  4. Step 4: Simplify right side
    511,543,460,694x = 1,211,478,704,428,560,737,632,256
  5. Step 5: Solve for x
    x = 1,211,478,704,428,560,737,632,256/511,543,460,694
  6. Step 6: Final answer
    x = 2,368,281,089,518.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.