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Finding the Third Proportional to 39,556,223 and 82,144,114

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Solution

The third proportional to 39,556,223 and 82,144,114 is: 170,583,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,556,223 : 82,144,114 = 82,144,114 : x
  2. Step 2: Convert to fraction form
    39,556,223/82,144,114 = 82,144,114/x
  3. Step 3: Cross multiply
    39,556,223x = 82,144,114 × 82,144,114
  4. Step 4: Simplify right side
    39,556,223x = 6,747,655,464,844,996
  5. Step 5: Solve for x
    x = 6,747,655,464,844,996/39,556,223
  6. Step 6: Final answer
    x = 170,583,917.10

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Why These Related Problems?

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