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Finding the Third Proportional to 260,038,612 and 541,600,542

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Solution

The third proportional to 260,038,612 and 541,600,542 is: 1,128,029,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038,612 : 541,600,542 = 541,600,542 : x
  2. Step 2: Convert to fraction form
    260,038,612/541,600,542 = 541,600,542/x
  3. Step 3: Cross multiply
    260,038,612x = 541,600,542 × 541,600,542
  4. Step 4: Simplify right side
    260,038,612x = 293,331,147,094,693,760
  5. Step 5: Solve for x
    x = 293,331,147,094,693,760/260,038,612
  6. Step 6: Final answer
    x = 1,128,029,198.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.