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Finding the Third Proportional to 41,024,168 and 87,539,272

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Solution

The third proportional to 41,024,168 and 87,539,272 is: 186,795,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,024,168 : 87,539,272 = 87,539,272 : x
  2. Step 2: Convert to fraction form
    41,024,168/87,539,272 = 87,539,272/x
  3. Step 3: Cross multiply
    41,024,168x = 87,539,272 × 87,539,272
  4. Step 4: Simplify right side
    41,024,168x = 7,663,124,142,289,984
  5. Step 5: Solve for x
    x = 7,663,124,142,289,984/41,024,168
  6. Step 6: Final answer
    x = 186,795,357.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.