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Finding the Third Proportional to 9,407,384 and 19,945,176

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Solution

The third proportional to 9,407,384 and 19,945,176 is: 42,286,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407,384 : 19,945,176 = 19,945,176 : x
  2. Step 2: Convert to fraction form
    9,407,384/19,945,176 = 19,945,176/x
  3. Step 3: Cross multiply
    9,407,384x = 19,945,176 × 19,945,176
  4. Step 4: Simplify right side
    9,407,384x = 397,810,045,670,976
  5. Step 5: Solve for x
    x = 397,810,045,670,976/9,407,384
  6. Step 6: Final answer
    x = 42,286,999.84

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