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Finding the Third Proportional to 32,081,904 and 69,277,824

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Solution

The third proportional to 32,081,904 and 69,277,824 is: 149,598,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081,904 : 69,277,824 = 69,277,824 : x
  2. Step 2: Convert to fraction form
    32,081,904/69,277,824 = 69,277,824/x
  3. Step 3: Cross multiply
    32,081,904x = 69,277,824 × 69,277,824
  4. Step 4: Simplify right side
    32,081,904x = 4,799,416,898,174,976
  5. Step 5: Solve for x
    x = 4,799,416,898,174,976/32,081,904
  6. Step 6: Final answer
    x = 149,598,879.74

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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.