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Finding the Third Proportional to 34,032,920 and 51,454,450

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Solution

The third proportional to 34,032,920 and 51,454,450 is: 77,794,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032,920 : 51,454,450 = 51,454,450 : x
  2. Step 2: Convert to fraction form
    34,032,920/51,454,450 = 51,454,450/x
  3. Step 3: Cross multiply
    34,032,920x = 51,454,450 × 51,454,450
  4. Step 4: Simplify right side
    34,032,920x = 2,647,560,424,802,500
  5. Step 5: Solve for x
    x = 2,647,560,424,802,500/34,032,920
  6. Step 6: Final answer
    x = 77,794,101.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.