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Finding the Third Proportional to 39,462,218,442 and 81,016,448,924.25

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Solution

The third proportional to 39,462,218,442 and 81,016,448,924.25 is: 166,327,825,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,462,218,442 : 81,016,448,924.25 = 81,016,448,924.25 : x
  2. Step 2: Convert to fraction form
    39,462,218,442/81,016,448,924.25 = 81,016,448,924.25/x
  3. Step 3: Cross multiply
    39,462,218,442x = 81,016,448,924.25 × 81,016,448,924.25
  4. Step 4: Simplify right side
    39,462,218,442x = 6,563,664,996,295,608,631,296
  5. Step 5: Solve for x
    x = 6,563,664,996,295,608,631,296/39,462,218,442
  6. Step 6: Final answer
    x = 166,327,825,840.37

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.