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Finding the Third Proportional to 3,826,893,223 and 5,990,133,106

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Solution

The third proportional to 3,826,893,223 and 5,990,133,106 is: 9,376,194,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,893,223 : 5,990,133,106 = 5,990,133,106 : x
  2. Step 2: Convert to fraction form
    3,826,893,223/5,990,133,106 = 5,990,133,106/x
  3. Step 3: Cross multiply
    3,826,893,223x = 5,990,133,106 × 5,990,133,106
  4. Step 4: Simplify right side
    3,826,893,223x = 35,881,694,627,597,205,504
  5. Step 5: Solve for x
    x = 35,881,694,627,597,205,504/3,826,893,223
  6. Step 6: Final answer
    x = 9,376,194,353.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.