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Finding the Third Proportional to 879,076,150,456 and 1,904,193,682,741

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Solution

The third proportional to 879,076,150,456 and 1,904,193,682,741 is: 4,124,732,060,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,076,150,456 : 1,904,193,682,741 = 1,904,193,682,741 : x
  2. Step 2: Convert to fraction form
    879,076,150,456/1,904,193,682,741 = 1,904,193,682,741/x
  3. Step 3: Cross multiply
    879,076,150,456x = 1,904,193,682,741 × 1,904,193,682,741
  4. Step 4: Simplify right side
    879,076,150,456x = 3,625,953,581,390,731,942,035,456
  5. Step 5: Solve for x
    x = 3,625,953,581,390,731,942,035,456/879,076,150,456
  6. Step 6: Final answer
    x = 4,124,732,060,481.74

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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.