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Finding the Third Proportional to 2,853,182.92 and 5,806,010.71

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Solution

The third proportional to 2,853,182.92 and 5,806,010.71 is: 11,814,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,182.92 : 5,806,010.71 = 5,806,010.71 : x
  2. Step 2: Convert to fraction form
    2,853,182.92/5,806,010.71 = 5,806,010.71/x
  3. Step 3: Cross multiply
    2,853,182.92x = 5,806,010.71 × 5,806,010.71
  4. Step 4: Simplify right side
    2,853,182.92x = 33,709,760,330,160.93
  5. Step 5: Solve for x
    x = 33,709,760,330,160.93/2,853,182.92
  6. Step 6: Final answer
    x = 11,814,791.16

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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.