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Finding the Third Proportional to 9,584,353 and 20,630,170

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Solution

The third proportional to 9,584,353 and 20,630,170 is: 44,406,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584,353 : 20,630,170 = 20,630,170 : x
  2. Step 2: Convert to fraction form
    9,584,353/20,630,170 = 20,630,170/x
  3. Step 3: Cross multiply
    9,584,353x = 20,630,170 × 20,630,170
  4. Step 4: Simplify right side
    9,584,353x = 425,603,914,228,900
  5. Step 5: Solve for x
    x = 425,603,914,228,900/9,584,353
  6. Step 6: Final answer
    x = 44,406,118.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.