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Finding the Third Proportional to 270,568,681 and 579,401,068

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Solution

The third proportional to 270,568,681 and 579,401,068 is: 1,240,740,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,568,681 : 579,401,068 = 579,401,068 : x
  2. Step 2: Convert to fraction form
    270,568,681/579,401,068 = 579,401,068/x
  3. Step 3: Cross multiply
    270,568,681x = 579,401,068 × 579,401,068
  4. Step 4: Simplify right side
    270,568,681x = 335,705,597,599,540,608
  5. Step 5: Solve for x
    x = 335,705,597,599,540,608/270,568,681
  6. Step 6: Final answer
    x = 1,240,740,784.78

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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.