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Finding the Third Proportional to 726,392,560,077 and 1,560,584,114,367.80

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Solution

The third proportional to 726,392,560,077 and 1,560,584,114,367.80 is: 3,352,763,934,915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,392,560,077 : 1,560,584,114,367.80 = 1,560,584,114,367.80 : x
  2. Step 2: Convert to fraction form
    726,392,560,077/1,560,584,114,367.80 = 1,560,584,114,367.80/x
  3. Step 3: Cross multiply
    726,392,560,077x = 1,560,584,114,367.80 × 1,560,584,114,367.80
  4. Step 4: Simplify right side
    726,392,560,077x = 2,435,422,778,017,131,047,944,192
  5. Step 5: Solve for x
    x = 2,435,422,778,017,131,047,944,192/726,392,560,077
  6. Step 6: Final answer
    x = 3,352,763,934,915.53

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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.