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Finding the Third Proportional to 3,033,976.50 and 6,518,201.63

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Solution

The third proportional to 3,033,976.50 and 6,518,201.63 is: 14,003,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033,976.50 : 6,518,201.63 = 6,518,201.63 : x
  2. Step 2: Convert to fraction form
    3,033,976.50/6,518,201.63 = 6,518,201.63/x
  3. Step 3: Cross multiply
    3,033,976.50x = 6,518,201.63 × 6,518,201.63
  4. Step 4: Simplify right side
    3,033,976.50x = 42,486,952,424,152.64
  5. Step 5: Solve for x
    x = 42,486,952,424,152.64/3,033,976.50
  6. Step 6: Final answer
    x = 14,003,718.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.