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Finding the Third Proportional to 2,448,656 and 5,193,736

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Solution

The third proportional to 2,448,656 and 5,193,736 is: 11,016,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448,656 : 5,193,736 = 5,193,736 : x
  2. Step 2: Convert to fraction form
    2,448,656/5,193,736 = 5,193,736/x
  3. Step 3: Cross multiply
    2,448,656x = 5,193,736 × 5,193,736
  4. Step 4: Simplify right side
    2,448,656x = 26,974,893,637,696
  5. Step 5: Solve for x
    x = 26,974,893,637,696/2,448,656
  6. Step 6: Final answer
    x = 11,016,203.84

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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.