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Finding the Third Proportional to 21,231,072 and 32,022,540

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Solution

The third proportional to 21,231,072 and 32,022,540 is: 48,299,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231,072 : 32,022,540 = 32,022,540 : x
  2. Step 2: Convert to fraction form
    21,231,072/32,022,540 = 32,022,540/x
  3. Step 3: Cross multiply
    21,231,072x = 32,022,540 × 32,022,540
  4. Step 4: Simplify right side
    21,231,072x = 1,025,443,068,051,600
  5. Step 5: Solve for x
    x = 1,025,443,068,051,600/21,231,072
  6. Step 6: Final answer
    x = 48,299,165.87

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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.