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Finding the Third Proportional to 744,654,183 and 1,199,836,255.50

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Solution

The third proportional to 744,654,183 and 1,199,836,255.50 is: 1,933,255,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,654,183 : 1,199,836,255.50 = 1,199,836,255.50 : x
  2. Step 2: Convert to fraction form
    744,654,183/1,199,836,255.50 = 1,199,836,255.50/x
  3. Step 3: Cross multiply
    744,654,183x = 1,199,836,255.50 × 1,199,836,255.50
  4. Step 4: Simplify right side
    744,654,183x = 1,439,607,040,012,261,376
  5. Step 5: Solve for x
    x = 1,439,607,040,012,261,376/744,654,183
  6. Step 6: Final answer
    x = 1,933,255,829.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.