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Finding the Third Proportional to 9,459,638 and 14,425,647

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Solution

The third proportional to 9,459,638 and 14,425,647 is: 21,998,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,638 : 14,425,647 = 14,425,647 : x
  2. Step 2: Convert to fraction form
    9,459,638/14,425,647 = 14,425,647/x
  3. Step 3: Cross multiply
    9,459,638x = 14,425,647 × 14,425,647
  4. Step 4: Simplify right side
    9,459,638x = 208,099,291,368,609
  5. Step 5: Solve for x
    x = 208,099,291,368,609/9,459,638
  6. Step 6: Final answer
    x = 21,998,652.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.