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Finding the Third Proportional to 21,034,019.25 and 32,310,817.73

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Solution

The third proportional to 21,034,019.25 and 32,310,817.73 is: 49,633,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034,019.25 : 32,310,817.73 = 32,310,817.73 : x
  2. Step 2: Convert to fraction form
    21,034,019.25/32,310,817.73 = 32,310,817.73/x
  3. Step 3: Cross multiply
    21,034,019.25x = 32,310,817.73 × 32,310,817.73
  4. Step 4: Simplify right side
    21,034,019.25x = 1,043,988,942,664,002
  5. Step 5: Solve for x
    x = 1,043,988,942,664,002/21,034,019.25
  6. Step 6: Final answer
    x = 49,633,354.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.