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Finding the Third Proportional to 1,461,629,050 and 3,449,296,187

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Solution

The third proportional to 1,461,629,050 and 3,449,296,187 is: 8,139,988,860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,629,050 : 3,449,296,187 = 3,449,296,187 : x
  2. Step 2: Convert to fraction form
    1,461,629,050/3,449,296,187 = 3,449,296,187/x
  3. Step 3: Cross multiply
    1,461,629,050x = 3,449,296,187 × 3,449,296,187
  4. Step 4: Simplify right side
    1,461,629,050x = 11,897,644,185,652,738,048
  5. Step 5: Solve for x
    x = 11,897,644,185,652,738,048/1,461,629,050
  6. Step 6: Final answer
    x = 8,139,988,860.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.