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Finding the Third Proportional to 5,930,838 and 12,949,339.50

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Solution

The third proportional to 5,930,838 and 12,949,339.50 is: 28,273,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930,838 : 12,949,339.50 = 12,949,339.50 : x
  2. Step 2: Convert to fraction form
    5,930,838/12,949,339.50 = 12,949,339.50/x
  3. Step 3: Cross multiply
    5,930,838x = 12,949,339.50 × 12,949,339.50
  4. Step 4: Simplify right side
    5,930,838x = 167,685,393,486,260.25
  5. Step 5: Solve for x
    x = 167,685,393,486,260.25/5,930,838
  6. Step 6: Final answer
    x = 28,273,473.91

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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.