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Finding the Third Proportional to 649,580,182 and 1,515,739,469

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Solution

The third proportional to 649,580,182 and 1,515,739,469 is: 3,536,847,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,580,182 : 1,515,739,469 = 1,515,739,469 : x
  2. Step 2: Convert to fraction form
    649,580,182/1,515,739,469 = 1,515,739,469/x
  3. Step 3: Cross multiply
    649,580,182x = 1,515,739,469 × 1,515,739,469
  4. Step 4: Simplify right side
    649,580,182x = 2,297,466,137,884,401,920
  5. Step 5: Solve for x
    x = 2,297,466,137,884,401,920/649,580,182
  6. Step 6: Final answer
    x = 3,536,847,646.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.