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Finding the Third Proportional to 3,193,881,033 and 6,950,164,920

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Solution

The third proportional to 3,193,881,033 and 6,950,164,920 is: 15,124,167,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,881,033 : 6,950,164,920 = 6,950,164,920 : x
  2. Step 2: Convert to fraction form
    3,193,881,033/6,950,164,920 = 6,950,164,920/x
  3. Step 3: Cross multiply
    3,193,881,033x = 6,950,164,920 × 6,950,164,920
  4. Step 4: Simplify right side
    3,193,881,033x = 48,304,792,415,198,609,408
  5. Step 5: Solve for x
    x = 48,304,792,415,198,609,408/3,193,881,033
  6. Step 6: Final answer
    x = 15,124,167,718.24

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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.