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Finding the Third Proportional to 9,435,208 and 14,137,996

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Solution

The third proportional to 9,435,208 and 14,137,996 is: 21,184,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,208 : 14,137,996 = 14,137,996 : x
  2. Step 2: Convert to fraction form
    9,435,208/14,137,996 = 14,137,996/x
  3. Step 3: Cross multiply
    9,435,208x = 14,137,996 × 14,137,996
  4. Step 4: Simplify right side
    9,435,208x = 199,882,930,896,016
  5. Step 5: Solve for x
    x = 199,882,930,896,016/9,435,208
  6. Step 6: Final answer
    x = 21,184,793.27

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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.