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Finding the Third Proportional to 6,398,349.75 and 9,811,380

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Solution

The third proportional to 6,398,349.75 and 9,811,380 is: 15,045,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398,349.75 : 9,811,380 = 9,811,380 : x
  2. Step 2: Convert to fraction form
    6,398,349.75/9,811,380 = 9,811,380/x
  3. Step 3: Cross multiply
    6,398,349.75x = 9,811,380 × 9,811,380
  4. Step 4: Simplify right side
    6,398,349.75x = 96,263,177,504,400
  5. Step 5: Solve for x
    x = 96,263,177,504,400/6,398,349.75
  6. Step 6: Final answer
    x = 15,045,000.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.