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Finding the Third Proportional to 629,729,190 and 1,299,700,152

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Solution

The third proportional to 629,729,190 and 1,299,700,152 is: 2,682,455,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,729,190 : 1,299,700,152 = 1,299,700,152 : x
  2. Step 2: Convert to fraction form
    629,729,190/1,299,700,152 = 1,299,700,152/x
  3. Step 3: Cross multiply
    629,729,190x = 1,299,700,152 × 1,299,700,152
  4. Step 4: Simplify right side
    629,729,190x = 1,689,220,485,108,823,040
  5. Step 5: Solve for x
    x = 1,689,220,485,108,823,040/629,729,190
  6. Step 6: Final answer
    x = 2,682,455,429.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.