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Finding the Third Proportional to 21,832,731 and 32,765,081

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Solution

The third proportional to 21,832,731 and 32,765,081 is: 49,171,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832,731 : 32,765,081 = 32,765,081 : x
  2. Step 2: Convert to fraction form
    21,832,731/32,765,081 = 32,765,081/x
  3. Step 3: Cross multiply
    21,832,731x = 32,765,081 × 32,765,081
  4. Step 4: Simplify right side
    21,832,731x = 1,073,550,532,936,561
  5. Step 5: Solve for x
    x = 1,073,550,532,936,561/21,832,731
  6. Step 6: Final answer
    x = 49,171,609.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.