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Finding the Third Proportional to 3,169,012 and 6,843,216

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Solution

The third proportional to 3,169,012 and 6,843,216 is: 14,777,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169,012 : 6,843,216 = 6,843,216 : x
  2. Step 2: Convert to fraction form
    3,169,012/6,843,216 = 6,843,216/x
  3. Step 3: Cross multiply
    3,169,012x = 6,843,216 × 6,843,216
  4. Step 4: Simplify right side
    3,169,012x = 46,829,605,222,656
  5. Step 5: Solve for x
    x = 46,829,605,222,656/3,169,012
  6. Step 6: Final answer
    x = 14,777,351.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.