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Finding the Third Proportional to 1,993,364,023 and 4,293,428,390

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Solution

The third proportional to 1,993,364,023 and 4,293,428,390 is: 9,247,446,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,364,023 : 4,293,428,390 = 4,293,428,390 : x
  2. Step 2: Convert to fraction form
    1,993,364,023/4,293,428,390 = 4,293,428,390/x
  3. Step 3: Cross multiply
    1,993,364,023x = 4,293,428,390 × 4,293,428,390
  4. Step 4: Simplify right side
    1,993,364,023x = 18,433,527,340,057,991,168
  5. Step 5: Solve for x
    x = 18,433,527,340,057,991,168/1,993,364,023
  6. Step 6: Final answer
    x = 9,247,446,591.47

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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.