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Finding the Third Proportional to 2,873,134 and 6,182,168

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Solution

The third proportional to 2,873,134 and 6,182,168 is: 13,302,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873,134 : 6,182,168 = 6,182,168 : x
  2. Step 2: Convert to fraction form
    2,873,134/6,182,168 = 6,182,168/x
  3. Step 3: Cross multiply
    2,873,134x = 6,182,168 × 6,182,168
  4. Step 4: Simplify right side
    2,873,134x = 38,219,201,180,224
  5. Step 5: Solve for x
    x = 38,219,201,180,224/2,873,134
  6. Step 6: Final answer
    x = 13,302,268.94

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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.