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Finding the Third Proportional to 797,840,087.44 and 1,745,975,757.84

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Solution

The third proportional to 797,840,087.44 and 1,745,975,757.84 is: 3,820,855,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,840,087.44 : 1,745,975,757.84 = 1,745,975,757.84 : x
  2. Step 2: Convert to fraction form
    797,840,087.44/1,745,975,757.84 = 1,745,975,757.84/x
  3. Step 3: Cross multiply
    797,840,087.44x = 1,745,975,757.84 × 1,745,975,757.84
  4. Step 4: Simplify right side
    797,840,087.44x = 3,048,431,346,978,231,808
  5. Step 5: Solve for x
    x = 3,048,431,346,978,231,808/797,840,087.44
  6. Step 6: Final answer
    x = 3,820,855,074.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.