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Finding the Third Proportional to 39,556,217 and 82,144,102

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Solution

The third proportional to 39,556,217 and 82,144,102 is: 170,583,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,556,217 : 82,144,102 = 82,144,102 : x
  2. Step 2: Convert to fraction form
    39,556,217/82,144,102 = 82,144,102/x
  3. Step 3: Cross multiply
    39,556,217x = 82,144,102 × 82,144,102
  4. Step 4: Simplify right side
    39,556,217x = 6,747,653,493,386,404
  5. Step 5: Solve for x
    x = 6,747,653,493,386,404/39,556,217
  6. Step 6: Final answer
    x = 170,583,893.13

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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.