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Finding the Third Proportional to 39,556,212.75 and 82,144,093.50

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Solution

The third proportional to 39,556,212.75 and 82,144,093.50 is: 170,583,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,556,212.75 : 82,144,093.50 = 82,144,093.50 : x
  2. Step 2: Convert to fraction form
    39,556,212.75/82,144,093.50 = 82,144,093.50/x
  3. Step 3: Cross multiply
    39,556,212.75x = 82,144,093.50 × 82,144,093.50
  4. Step 4: Simplify right side
    39,556,212.75x = 6,747,652,096,936,742
  5. Step 5: Solve for x
    x = 6,747,652,096,936,742/39,556,212.75
  6. Step 6: Final answer
    x = 170,583,876.16

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.