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Finding the Third Proportional to 474,737,738,986 and 640,532,675,720

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Solution

The third proportional to 474,737,738,986 and 640,532,675,720 is: 864,228,973,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,737,738,986 : 640,532,675,720 = 640,532,675,720 : x
  2. Step 2: Convert to fraction form
    474,737,738,986/640,532,675,720 = 640,532,675,720/x
  3. Step 3: Cross multiply
    474,737,738,986x = 640,532,675,720 × 640,532,675,720
  4. Step 4: Simplify right side
    474,737,738,986x = 410,282,108,665,022,667,292,672
  5. Step 5: Solve for x
    x = 410,282,108,665,022,667,292,672/474,737,738,986
  6. Step 6: Final answer
    x = 864,228,973,119.67

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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.