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Finding the Third Proportional to 1,135,689,315,096 and 1,764,143,659,704

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Solution

The third proportional to 1,135,689,315,096 and 1,764,143,659,704 is: 2,740,364,649,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,689,315,096 : 1,764,143,659,704 = 1,764,143,659,704 : x
  2. Step 2: Convert to fraction form
    1,135,689,315,096/1,764,143,659,704 = 1,764,143,659,704/x
  3. Step 3: Cross multiply
    1,135,689,315,096x = 1,764,143,659,704 × 1,764,143,659,704
  4. Step 4: Simplify right side
    1,135,689,315,096x = 3,112,202,852,073,822,392,156,160
  5. Step 5: Solve for x
    x = 3,112,202,852,073,822,392,156,160/1,135,689,315,096
  6. Step 6: Final answer
    x = 2,740,364,649,649.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.