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Finding the Third Proportional to 37,865,268 and 82,938,204

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Solution

The third proportional to 37,865,268 and 82,938,204 is: 181,663,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,865,268 : 82,938,204 = 82,938,204 : x
  2. Step 2: Convert to fraction form
    37,865,268/82,938,204 = 82,938,204/x
  3. Step 3: Cross multiply
    37,865,268x = 82,938,204 × 82,938,204
  4. Step 4: Simplify right side
    37,865,268x = 6,878,745,682,745,616
  5. Step 5: Solve for x
    x = 6,878,745,682,745,616/37,865,268
  6. Step 6: Final answer
    x = 181,663,726.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.