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Finding the Third Proportional to 2,984,328 and 6,078,395.50

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Solution

The third proportional to 2,984,328 and 6,078,395.50 is: 12,380,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,328 : 6,078,395.50 = 6,078,395.50 : x
  2. Step 2: Convert to fraction form
    2,984,328/6,078,395.50 = 6,078,395.50/x
  3. Step 3: Cross multiply
    2,984,328x = 6,078,395.50 × 6,078,395.50
  4. Step 4: Simplify right side
    2,984,328x = 36,946,891,854,420.25
  5. Step 5: Solve for x
    x = 36,946,891,854,420.25/2,984,328
  6. Step 6: Final answer
    x = 12,380,305.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.