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Finding the Third Proportional to 2,696,796 and 5,793,806.25

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Solution

The third proportional to 2,696,796 and 5,793,806.25 is: 12,447,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696,796 : 5,793,806.25 = 5,793,806.25 : x
  2. Step 2: Convert to fraction form
    2,696,796/5,793,806.25 = 5,793,806.25/x
  3. Step 3: Cross multiply
    2,696,796x = 5,793,806.25 × 5,793,806.25
  4. Step 4: Simplify right side
    2,696,796x = 33,568,190,862,539.06
  5. Step 5: Solve for x
    x = 33,568,190,862,539.06/2,696,796
  6. Step 6: Final answer
    x = 12,447,434.24

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Why These Related Problems?

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