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Finding the Third Proportional to 27,166,176 and 41,099,232

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Solution

The third proportional to 27,166,176 and 41,099,232 is: 62,178,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166,176 : 41,099,232 = 41,099,232 : x
  2. Step 2: Convert to fraction form
    27,166,176/41,099,232 = 41,099,232/x
  3. Step 3: Cross multiply
    27,166,176x = 41,099,232 × 41,099,232
  4. Step 4: Simplify right side
    27,166,176x = 1,689,146,870,989,824
  5. Step 5: Solve for x
    x = 1,689,146,870,989,824/27,166,176
  6. Step 6: Final answer
    x = 62,178,308.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.