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Finding the Third Proportional to 5,692,968 and 12,396,734

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Solution

The third proportional to 5,692,968 and 12,396,734 is: 26,994,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,968 : 12,396,734 = 12,396,734 : x
  2. Step 2: Convert to fraction form
    5,692,968/12,396,734 = 12,396,734/x
  3. Step 3: Cross multiply
    5,692,968x = 12,396,734 × 12,396,734
  4. Step 4: Simplify right side
    5,692,968x = 153,679,013,866,756
  5. Step 5: Solve for x
    x = 153,679,013,866,756/5,692,968
  6. Step 6: Final answer
    x = 26,994,533.23

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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.