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Finding the Third Proportional to 32,081,629 and 69,276,869

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Solution

The third proportional to 32,081,629 and 69,276,869 is: 149,596,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081,629 : 69,276,869 = 69,276,869 : x
  2. Step 2: Convert to fraction form
    32,081,629/69,276,869 = 69,276,869/x
  3. Step 3: Cross multiply
    32,081,629x = 69,276,869 × 69,276,869
  4. Step 4: Simplify right side
    32,081,629x = 4,799,284,578,443,161
  5. Step 5: Solve for x
    x = 4,799,284,578,443,161/32,081,629
  6. Step 6: Final answer
    x = 149,596,037.61

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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.