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Finding the Third Proportional to 4,102,375,789.50 and 8,349,732,123

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Solution

The third proportional to 4,102,375,789.50 and 8,349,732,123 is: 16,994,549,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,375,789.50 : 8,349,732,123 = 8,349,732,123 : x
  2. Step 2: Convert to fraction form
    4,102,375,789.50/8,349,732,123 = 8,349,732,123/x
  3. Step 3: Cross multiply
    4,102,375,789.50x = 8,349,732,123 × 8,349,732,123
  4. Step 4: Simplify right side
    4,102,375,789.50x = 69,718,026,525,858,086,912
  5. Step 5: Solve for x
    x = 69,718,026,525,858,086,912/4,102,375,789.50
  6. Step 6: Final answer
    x = 16,994,549,037.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.