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Finding the Third Proportional to 2,661,648.29 and 5,790,383.40

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Solution

The third proportional to 2,661,648.29 and 5,790,383.40 is: 12,596,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,648.29 : 5,790,383.40 = 5,790,383.40 : x
  2. Step 2: Convert to fraction form
    2,661,648.29/5,790,383.40 = 5,790,383.40/x
  3. Step 3: Cross multiply
    2,661,648.29x = 5,790,383.40 × 5,790,383.40
  4. Step 4: Simplify right side
    2,661,648.29x = 33,528,539,946,138.57
  5. Step 5: Solve for x
    x = 33,528,539,946,138.57/2,661,648.29
  6. Step 6: Final answer
    x = 12,596,908.48

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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.