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Finding the Third Proportional to 4,568,551,740 and 6,164,048,961

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Solution

The third proportional to 4,568,551,740 and 6,164,048,961 is: 8,316,749,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568,551,740 : 6,164,048,961 = 6,164,048,961 : x
  2. Step 2: Convert to fraction form
    4,568,551,740/6,164,048,961 = 6,164,048,961/x
  3. Step 3: Cross multiply
    4,568,551,740x = 6,164,048,961 × 6,164,048,961
  4. Step 4: Simplify right side
    4,568,551,740x = 37,995,499,593,605,177,344
  5. Step 5: Solve for x
    x = 37,995,499,593,605,177,344/4,568,551,740
  6. Step 6: Final answer
    x = 8,316,749,323.63

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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.