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Finding the Third Proportional to 21,231,091 and 32,022,568.50

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Solution

The third proportional to 21,231,091 and 32,022,568.50 is: 48,299,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231,091 : 32,022,568.50 = 32,022,568.50 : x
  2. Step 2: Convert to fraction form
    21,231,091/32,022,568.50 = 32,022,568.50/x
  3. Step 3: Cross multiply
    21,231,091x = 32,022,568.50 × 32,022,568.50
  4. Step 4: Simplify right side
    21,231,091x = 1,025,444,893,337,192.25
  5. Step 5: Solve for x
    x = 1,025,444,893,337,192.25/21,231,091
  6. Step 6: Final answer
    x = 48,299,208.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.