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Finding the Third Proportional to 474,737,738,984 and 640,532,675,717

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Solution

The third proportional to 474,737,738,984 and 640,532,675,717 is: 864,228,973,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,737,738,984 : 640,532,675,717 = 640,532,675,717 : x
  2. Step 2: Convert to fraction form
    474,737,738,984/640,532,675,717 = 640,532,675,717/x
  3. Step 3: Cross multiply
    474,737,738,984x = 640,532,675,717 × 640,532,675,717
  4. Step 4: Simplify right side
    474,737,738,984x = 410,282,108,661,179,476,869,120
  5. Step 5: Solve for x
    x = 410,282,108,661,179,476,869,120/474,737,738,984
  6. Step 6: Final answer
    x = 864,228,973,115.21

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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.