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Finding the Third Proportional to 307,841,052 and 462,166,866

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Solution

The third proportional to 307,841,052 and 462,166,866 is: 693,858,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,841,052 : 462,166,866 = 462,166,866 : x
  2. Step 2: Convert to fraction form
    307,841,052/462,166,866 = 462,166,866/x
  3. Step 3: Cross multiply
    307,841,052x = 462,166,866 × 462,166,866
  4. Step 4: Simplify right side
    307,841,052x = 213,598,212,028,261,952
  5. Step 5: Solve for x
    x = 213,598,212,028,261,952/307,841,052
  6. Step 6: Final answer
    x = 693,858,764.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.