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Finding the Third Proportional to 37,175,574 and 80,965,176

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Solution

The third proportional to 37,175,574 and 80,965,176 is: 176,335,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175,574 : 80,965,176 = 80,965,176 : x
  2. Step 2: Convert to fraction form
    37,175,574/80,965,176 = 80,965,176/x
  3. Step 3: Cross multiply
    37,175,574x = 80,965,176 × 80,965,176
  4. Step 4: Simplify right side
    37,175,574x = 6,555,359,724,710,976
  5. Step 5: Solve for x
    x = 6,555,359,724,710,976/37,175,574
  6. Step 6: Final answer
    x = 176,335,131.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.