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Finding the Third Proportional to 6,309,200 and 13,681,336

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Solution

The third proportional to 6,309,200 and 13,681,336 is: 29,667,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,200 : 13,681,336 = 13,681,336 : x
  2. Step 2: Convert to fraction form
    6,309,200/13,681,336 = 13,681,336/x
  3. Step 3: Cross multiply
    6,309,200x = 13,681,336 × 13,681,336
  4. Step 4: Simplify right side
    6,309,200x = 187,178,954,744,896
  5. Step 5: Solve for x
    x = 187,178,954,744,896/6,309,200
  6. Step 6: Final answer
    x = 29,667,621.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.