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Finding the Third Proportional to 855,453,067,601 and 1,835,089,125,672.50

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Solution

The third proportional to 855,453,067,601 and 1,835,089,125,672.50 is: 3,936,571,422,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,453,067,601 : 1,835,089,125,672.50 = 1,835,089,125,672.50 : x
  2. Step 2: Convert to fraction form
    855,453,067,601/1,835,089,125,672.50 = 1,835,089,125,672.50/x
  3. Step 3: Cross multiply
    855,453,067,601x = 1,835,089,125,672.50 × 1,835,089,125,672.50
  4. Step 4: Simplify right side
    855,453,067,601x = 3,367,552,099,161,460,390,756,352
  5. Step 5: Solve for x
    x = 3,367,552,099,161,460,390,756,352/855,453,067,601
  6. Step 6: Final answer
    x = 3,936,571,422,445.53

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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.