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Finding the Third Proportional to 9,620,498 and 20,037,064

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Solution

The third proportional to 9,620,498 and 20,037,064 is: 41,732,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620,498 : 20,037,064 = 20,037,064 : x
  2. Step 2: Convert to fraction form
    9,620,498/20,037,064 = 20,037,064/x
  3. Step 3: Cross multiply
    9,620,498x = 20,037,064 × 20,037,064
  4. Step 4: Simplify right side
    9,620,498x = 401,483,933,740,096
  5. Step 5: Solve for x
    x = 401,483,933,740,096/9,620,498
  6. Step 6: Final answer
    x = 41,732,136.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.