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Finding the Third Proportional to 39,556,224 and 82,144,116

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Solution

The third proportional to 39,556,224 and 82,144,116 is: 170,583,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,556,224 : 82,144,116 = 82,144,116 : x
  2. Step 2: Convert to fraction form
    39,556,224/82,144,116 = 82,144,116/x
  3. Step 3: Cross multiply
    39,556,224x = 82,144,116 × 82,144,116
  4. Step 4: Simplify right side
    39,556,224x = 6,747,655,793,421,456
  5. Step 5: Solve for x
    x = 6,747,655,793,421,456/39,556,224
  6. Step 6: Final answer
    x = 170,583,921.09

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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.