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Finding the Third Proportional to 699,796,554 and 1,503,444,604.50

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Solution

The third proportional to 699,796,554 and 1,503,444,604.50 is: 3,230,004,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,796,554 : 1,503,444,604.50 = 1,503,444,604.50 : x
  2. Step 2: Convert to fraction form
    699,796,554/1,503,444,604.50 = 1,503,444,604.50/x
  3. Step 3: Cross multiply
    699,796,554x = 1,503,444,604.50 × 1,503,444,604.50
  4. Step 4: Simplify right side
    699,796,554x = 2,260,345,678,800,161,536
  5. Step 5: Solve for x
    x = 2,260,345,678,800,161,536/699,796,554
  6. Step 6: Final answer
    x = 3,230,004,014.57

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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.