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Finding the Third Proportional to 2,147,176 and 4,680,176

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Solution

The third proportional to 2,147,176 and 4,680,176 is: 10,201,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,176 : 4,680,176 = 4,680,176 : x
  2. Step 2: Convert to fraction form
    2,147,176/4,680,176 = 4,680,176/x
  3. Step 3: Cross multiply
    2,147,176x = 4,680,176 × 4,680,176
  4. Step 4: Simplify right side
    2,147,176x = 21,904,047,390,976
  5. Step 5: Solve for x
    x = 21,904,047,390,976/2,147,176
  6. Step 6: Final answer
    x = 10,201,328.35

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