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Finding the Third Proportional to 38,092,896 and 57,226,176

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Solution

The third proportional to 38,092,896 and 57,226,176 is: 85,969,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,092,896 : 57,226,176 = 57,226,176 : x
  2. Step 2: Convert to fraction form
    38,092,896/57,226,176 = 57,226,176/x
  3. Step 3: Cross multiply
    38,092,896x = 57,226,176 × 57,226,176
  4. Step 4: Simplify right side
    38,092,896x = 3,274,835,219,582,976
  5. Step 5: Solve for x
    x = 3,274,835,219,582,976/38,092,896
  6. Step 6: Final answer
    x = 85,969,709.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.