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Finding the Third Proportional to 5,968,920 and 12,788,821

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Solution

The third proportional to 5,968,920 and 12,788,821 is: 27,400,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968,920 : 12,788,821 = 12,788,821 : x
  2. Step 2: Convert to fraction form
    5,968,920/12,788,821 = 12,788,821/x
  3. Step 3: Cross multiply
    5,968,920x = 12,788,821 × 12,788,821
  4. Step 4: Simplify right side
    5,968,920x = 163,553,942,570,041
  5. Step 5: Solve for x
    x = 163,553,942,570,041/5,968,920
  6. Step 6: Final answer
    x = 27,400,927.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.