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Finding the Third Proportional to 416,480,649,108 and 844,671,786,217.50

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Solution

The third proportional to 416,480,649,108 and 844,671,786,217.50 is: 1,713,093,820,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,480,649,108 : 844,671,786,217.50 = 844,671,786,217.50 : x
  2. Step 2: Convert to fraction form
    416,480,649,108/844,671,786,217.50 = 844,671,786,217.50/x
  3. Step 3: Cross multiply
    416,480,649,108x = 844,671,786,217.50 × 844,671,786,217.50
  4. Step 4: Simplify right side
    416,480,649,108x = 713,470,426,431,862,056,419,328
  5. Step 5: Solve for x
    x = 713,470,426,431,862,056,419,328/416,480,649,108
  6. Step 6: Final answer
    x = 1,713,093,820,709.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.