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Finding the Third Proportional to 5,782,073,669 and 7,801,375,013

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Solution

The third proportional to 5,782,073,669 and 7,801,375,013 is: 10,525,886,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,073,669 : 7,801,375,013 = 7,801,375,013 : x
  2. Step 2: Convert to fraction form
    5,782,073,669/7,801,375,013 = 7,801,375,013/x
  3. Step 3: Cross multiply
    5,782,073,669x = 7,801,375,013 × 7,801,375,013
  4. Step 4: Simplify right side
    5,782,073,669x = 60,861,452,093,460,750,336
  5. Step 5: Solve for x
    x = 60,861,452,093,460,750,336/5,782,073,669
  6. Step 6: Final answer
    x = 10,525,886,658.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.