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Finding the Third Proportional to 21,523,647 and 32,684,031

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Solution

The third proportional to 21,523,647 and 32,684,031 is: 49,631,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523,647 : 32,684,031 = 32,684,031 : x
  2. Step 2: Convert to fraction form
    21,523,647/32,684,031 = 32,684,031/x
  3. Step 3: Cross multiply
    21,523,647x = 32,684,031 × 32,684,031
  4. Step 4: Simplify right side
    21,523,647x = 1,068,245,882,408,961
  5. Step 5: Solve for x
    x = 1,068,245,882,408,961/21,523,647
  6. Step 6: Final answer
    x = 49,631,267.53

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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.