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Finding the Third Proportional to 3,193,881,034 and 6,950,164,922

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Solution

The third proportional to 3,193,881,034 and 6,950,164,922 is: 15,124,167,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,881,034 : 6,950,164,922 = 6,950,164,922 : x
  2. Step 2: Convert to fraction form
    3,193,881,034/6,950,164,922 = 6,950,164,922/x
  3. Step 3: Cross multiply
    3,193,881,034x = 6,950,164,922 × 6,950,164,922
  4. Step 4: Simplify right side
    3,193,881,034x = 48,304,792,442,999,267,328
  5. Step 5: Solve for x
    x = 48,304,792,442,999,267,328/3,193,881,034
  6. Step 6: Final answer
    x = 15,124,167,722.21

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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.