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Finding the Third Proportional to 3,219,275.25 and 6,822,369

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Solution

The third proportional to 3,219,275.25 and 6,822,369 is: 14,458,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,275.25 : 6,822,369 = 6,822,369 : x
  2. Step 2: Convert to fraction form
    3,219,275.25/6,822,369 = 6,822,369/x
  3. Step 3: Cross multiply
    3,219,275.25x = 6,822,369 × 6,822,369
  4. Step 4: Simplify right side
    3,219,275.25x = 46,544,718,772,161
  5. Step 5: Solve for x
    x = 46,544,718,772,161/3,219,275.25
  6. Step 6: Final answer
    x = 14,458,135.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.