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Finding the Third Proportional to 6,389,176 and 13,957,400

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Solution

The third proportional to 6,389,176 and 13,957,400 is: 30,490,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389,176 : 13,957,400 = 13,957,400 : x
  2. Step 2: Convert to fraction form
    6,389,176/13,957,400 = 13,957,400/x
  3. Step 3: Cross multiply
    6,389,176x = 13,957,400 × 13,957,400
  4. Step 4: Simplify right side
    6,389,176x = 194,809,014,760,000
  5. Step 5: Solve for x
    x = 194,809,014,760,000/6,389,176
  6. Step 6: Final answer
    x = 30,490,475.57

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Why These Related Problems?

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