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Finding the Third Proportional to 1,461,629,052 and 3,449,296,192

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Solution

The third proportional to 1,461,629,052 and 3,449,296,192 is: 8,139,988,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,629,052 : 3,449,296,192 = 3,449,296,192 : x
  2. Step 2: Convert to fraction form
    1,461,629,052/3,449,296,192 = 3,449,296,192/x
  3. Step 3: Cross multiply
    1,461,629,052x = 3,449,296,192 × 3,449,296,192
  4. Step 4: Simplify right side
    1,461,629,052x = 11,897,644,220,145,700,864
  5. Step 5: Solve for x
    x = 11,897,644,220,145,700,864/1,461,629,052
  6. Step 6: Final answer
    x = 8,139,988,873.28

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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.