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Finding the Third Proportional to 3,193,880,828 and 6,950,164,504

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Solution

The third proportional to 3,193,880,828 and 6,950,164,504 is: 15,124,166,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,880,828 : 6,950,164,504 = 6,950,164,504 : x
  2. Step 2: Convert to fraction form
    3,193,880,828/6,950,164,504 = 6,950,164,504/x
  3. Step 3: Cross multiply
    3,193,880,828x = 6,950,164,504 × 6,950,164,504
  4. Step 4: Simplify right side
    3,193,880,828x = 48,304,786,632,661,565,440
  5. Step 5: Solve for x
    x = 48,304,786,632,661,565,440/3,193,880,828
  6. Step 6: Final answer
    x = 15,124,166,878.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.