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Finding the Third Proportional to 5,782,073,760 and 7,801,375,140

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Solution

The third proportional to 5,782,073,760 and 7,801,375,140 is: 10,525,886,835.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,073,760 : 7,801,375,140 = 7,801,375,140 : x
  2. Step 2: Convert to fraction form
    5,782,073,760/7,801,375,140 = 7,801,375,140/x
  3. Step 3: Cross multiply
    5,782,073,760x = 7,801,375,140 × 7,801,375,140
  4. Step 4: Simplify right side
    5,782,073,760x = 60,861,454,075,010,023,424
  5. Step 5: Solve for x
    x = 60,861,454,075,010,023,424/5,782,073,760
  6. Step 6: Final answer
    x = 10,525,886,835.97

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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.