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Finding the Third Proportional to 32,081,625 and 69,276,861

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Solution

The third proportional to 32,081,625 and 69,276,861 is: 149,596,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081,625 : 69,276,861 = 69,276,861 : x
  2. Step 2: Convert to fraction form
    32,081,625/69,276,861 = 69,276,861/x
  3. Step 3: Cross multiply
    32,081,625x = 69,276,861 × 69,276,861
  4. Step 4: Simplify right side
    32,081,625x = 4,799,283,470,013,321
  5. Step 5: Solve for x
    x = 4,799,283,470,013,321/32,081,625
  6. Step 6: Final answer
    x = 149,596,021.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.