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Finding the Third Proportional to 6,576,975,612 and 15,520,485,456

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Solution

The third proportional to 6,576,975,612 and 15,520,485,456 is: 36,625,568,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,975,612 : 15,520,485,456 = 15,520,485,456 : x
  2. Step 2: Convert to fraction form
    6,576,975,612/15,520,485,456 = 15,520,485,456/x
  3. Step 3: Cross multiply
    6,576,975,612x = 15,520,485,456 × 15,520,485,456
  4. Step 4: Simplify right side
    6,576,975,612x = 240,885,468,789,907,521,536
  5. Step 5: Solve for x
    x = 240,885,468,789,907,521,536/6,576,975,612
  6. Step 6: Final answer
    x = 36,625,568,194.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.