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Finding the Third Proportional to 3,093,768,700 and 4,906,908,741

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Solution

The third proportional to 3,093,768,700 and 4,906,908,741 is: 7,782,661,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093,768,700 : 4,906,908,741 = 4,906,908,741 : x
  2. Step 2: Convert to fraction form
    3,093,768,700/4,906,908,741 = 4,906,908,741/x
  3. Step 3: Cross multiply
    3,093,768,700x = 4,906,908,741 × 4,906,908,741
  4. Step 4: Simplify right side
    3,093,768,700x = 24,077,753,392,502,206,464
  5. Step 5: Solve for x
    x = 24,077,753,392,502,206,464/3,093,768,700
  6. Step 6: Final answer
    x = 7,782,661,125.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.