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Finding the Third Proportional to 23,474,016 and 49,774,176

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Solution

The third proportional to 23,474,016 and 49,774,176 is: 105,540,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474,016 : 49,774,176 = 49,774,176 : x
  2. Step 2: Convert to fraction form
    23,474,016/49,774,176 = 49,774,176/x
  3. Step 3: Cross multiply
    23,474,016x = 49,774,176 × 49,774,176
  4. Step 4: Simplify right side
    23,474,016x = 2,477,468,596,478,976
  5. Step 5: Solve for x
    x = 2,477,468,596,478,976/23,474,016
  6. Step 6: Final answer
    x = 105,540,892.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.