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Finding the Third Proportional to 3,288,400,440 and 4,751,170,740

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Solution

The third proportional to 3,288,400,440 and 4,751,170,740 is: 6,864,621,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,400,440 : 4,751,170,740 = 4,751,170,740 : x
  2. Step 2: Convert to fraction form
    3,288,400,440/4,751,170,740 = 4,751,170,740/x
  3. Step 3: Cross multiply
    3,288,400,440x = 4,751,170,740 × 4,751,170,740
  4. Step 4: Simplify right side
    3,288,400,440x = 22,573,623,400,632,147,968
  5. Step 5: Solve for x
    x = 22,573,623,400,632,147,968/3,288,400,440
  6. Step 6: Final answer
    x = 6,864,621,207.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.