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Finding the Third Proportional to 2,221,238,863,920 and 3,127,993,786,728

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Solution

The third proportional to 2,221,238,863,920 and 3,127,993,786,728 is: 4,404,904,528,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221,238,863,920 : 3,127,993,786,728 = 3,127,993,786,728 : x
  2. Step 2: Convert to fraction form
    2,221,238,863,920/3,127,993,786,728 = 3,127,993,786,728/x
  3. Step 3: Cross multiply
    2,221,238,863,920x = 3,127,993,786,728 × 3,127,993,786,728
  4. Step 4: Simplify right side
    2,221,238,863,920x = 9,784,345,129,808,971,840,880,640
  5. Step 5: Solve for x
    x = 9,784,345,129,808,971,840,880,640/2,221,238,863,920
  6. Step 6: Final answer
    x = 4,404,904,528,161.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.