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Finding the Third Proportional to 4,381,096 and 9,588,032

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Solution

The third proportional to 4,381,096 and 9,588,032 is: 20,983,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381,096 : 9,588,032 = 9,588,032 : x
  2. Step 2: Convert to fraction form
    4,381,096/9,588,032 = 9,588,032/x
  3. Step 3: Cross multiply
    4,381,096x = 9,588,032 × 9,588,032
  4. Step 4: Simplify right side
    4,381,096x = 91,930,357,633,024
  5. Step 5: Solve for x
    x = 91,930,357,633,024/4,381,096
  6. Step 6: Final answer
    x = 20,983,415.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.