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Finding the Third Proportional to 3,483,740 and 7,107,446

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Solution

The third proportional to 3,483,740 and 7,107,446 is: 14,500,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483,740 : 7,107,446 = 7,107,446 : x
  2. Step 2: Convert to fraction form
    3,483,740/7,107,446 = 7,107,446/x
  3. Step 3: Cross multiply
    3,483,740x = 7,107,446 × 7,107,446
  4. Step 4: Simplify right side
    3,483,740x = 50,515,788,642,916
  5. Step 5: Solve for x
    x = 50,515,788,642,916/3,483,740
  6. Step 6: Final answer
    x = 14,500,447.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.