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Finding the Third Proportional to 1,461,629,043 and 3,449,296,173.38

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Solution

The third proportional to 1,461,629,043 and 3,449,296,173.38 is: 8,139,988,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,629,043 : 3,449,296,173.38 = 3,449,296,173.38 : x
  2. Step 2: Convert to fraction form
    1,461,629,043/3,449,296,173.38 = 3,449,296,173.38/x
  3. Step 3: Cross multiply
    1,461,629,043x = 3,449,296,173.38 × 3,449,296,173.38
  4. Step 4: Simplify right side
    1,461,629,043x = 11,897,644,091,659,417,600
  5. Step 5: Solve for x
    x = 11,897,644,091,659,417,600/1,461,629,043
  6. Step 6: Final answer
    x = 8,139,988,835.50

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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.