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Finding the Third Proportional to 1,213,331,914.50 and 2,614,097,049

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Solution

The third proportional to 1,213,331,914.50 and 2,614,097,049 is: 5,632,014,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,331,914.50 : 2,614,097,049 = 2,614,097,049 : x
  2. Step 2: Convert to fraction form
    1,213,331,914.50/2,614,097,049 = 2,614,097,049/x
  3. Step 3: Cross multiply
    1,213,331,914.50x = 2,614,097,049 × 2,614,097,049
  4. Step 4: Simplify right side
    1,213,331,914.50x = 6,833,503,381,590,508,544
  5. Step 5: Solve for x
    x = 6,833,503,381,590,508,544/1,213,331,914.50
  6. Step 6: Final answer
    x = 5,632,014,867.43

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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.