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Finding the Third Proportional to 270,568,683 and 579,401,073

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Solution

The third proportional to 270,568,683 and 579,401,073 is: 1,240,740,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,568,683 : 579,401,073 = 579,401,073 : x
  2. Step 2: Convert to fraction form
    270,568,683/579,401,073 = 579,401,073/x
  3. Step 3: Cross multiply
    270,568,683x = 579,401,073 × 579,401,073
  4. Step 4: Simplify right side
    270,568,683x = 335,705,603,393,551,360
  5. Step 5: Solve for x
    x = 335,705,603,393,551,360/270,568,683
  6. Step 6: Final answer
    x = 1,240,740,797.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.