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Finding the Third Proportional to 7,548,735,054 and 11,257,640,805

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Solution

The third proportional to 7,548,735,054 and 11,257,640,805 is: 16,788,836,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548,735,054 : 11,257,640,805 = 11,257,640,805 : x
  2. Step 2: Convert to fraction form
    7,548,735,054/11,257,640,805 = 11,257,640,805/x
  3. Step 3: Cross multiply
    7,548,735,054x = 11,257,640,805 × 11,257,640,805
  4. Step 4: Simplify right side
    7,548,735,054x = 126,734,476,494,401,044,480
  5. Step 5: Solve for x
    x = 126,734,476,494,401,044,480/7,548,735,054
  6. Step 6: Final answer
    x = 16,788,836,220.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.