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Finding the Third Proportional to 9,348,204 and 13,984,939.50

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Solution

The third proportional to 9,348,204 and 13,984,939.50 is: 20,921,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,204 : 13,984,939.50 = 13,984,939.50 : x
  2. Step 2: Convert to fraction form
    9,348,204/13,984,939.50 = 13,984,939.50/x
  3. Step 3: Cross multiply
    9,348,204x = 13,984,939.50 × 13,984,939.50
  4. Step 4: Simplify right side
    9,348,204x = 195,578,532,818,660.25
  5. Step 5: Solve for x
    x = 195,578,532,818,660.25/9,348,204
  6. Step 6: Final answer
    x = 20,921,508.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.