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Finding the Third Proportional to 2,853,180.39 and 5,806,005.64

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Solution

The third proportional to 2,853,180.39 and 5,806,005.64 is: 11,814,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,180.39 : 5,806,005.64 = 5,806,005.64 : x
  2. Step 2: Convert to fraction form
    2,853,180.39/5,806,005.64 = 5,806,005.64/x
  3. Step 3: Cross multiply
    2,853,180.39x = 5,806,005.64 × 5,806,005.64
  4. Step 4: Simplify right side
    2,853,180.39x = 33,709,701,544,325.84
  5. Step 5: Solve for x
    x = 33,709,701,544,325.84/2,853,180.39
  6. Step 6: Final answer
    x = 11,814,781.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.