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Finding the Third Proportional to 37,675,116 and 81,373,176

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Solution

The third proportional to 37,675,116 and 81,373,176 is: 175,755,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675,116 : 81,373,176 = 81,373,176 : x
  2. Step 2: Convert to fraction form
    37,675,116/81,373,176 = 81,373,176/x
  3. Step 3: Cross multiply
    37,675,116x = 81,373,176 × 81,373,176
  4. Step 4: Simplify right side
    37,675,116x = 6,621,593,772,326,976
  5. Step 5: Solve for x
    x = 6,621,593,772,326,976/37,675,116
  6. Step 6: Final answer
    x = 175,755,099.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.