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Finding the Third Proportional to 879,076,150,450.50 and 1,904,193,682,734

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Solution

The third proportional to 879,076,150,450.50 and 1,904,193,682,734 is: 4,124,732,060,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,076,150,450.50 : 1,904,193,682,734 = 1,904,193,682,734 : x
  2. Step 2: Convert to fraction form
    879,076,150,450.50/1,904,193,682,734 = 1,904,193,682,734/x
  3. Step 3: Cross multiply
    879,076,150,450.50x = 1,904,193,682,734 × 1,904,193,682,734
  4. Step 4: Simplify right side
    879,076,150,450.50x = 3,625,953,581,364,073,616,900,096
  5. Step 5: Solve for x
    x = 3,625,953,581,364,073,616,900,096/879,076,150,450.50
  6. Step 6: Final answer
    x = 4,124,732,060,477.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.