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Finding the Third Proportional to 9,354,664 and 13,993,848

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Solution

The third proportional to 9,354,664 and 13,993,848 is: 20,933,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354,664 : 13,993,848 = 13,993,848 : x
  2. Step 2: Convert to fraction form
    9,354,664/13,993,848 = 13,993,848/x
  3. Step 3: Cross multiply
    9,354,664x = 13,993,848 × 13,993,848
  4. Step 4: Simplify right side
    9,354,664x = 195,827,781,847,104
  5. Step 5: Solve for x
    x = 195,827,781,847,104/9,354,664
  6. Step 6: Final answer
    x = 20,933,705.57

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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.