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Finding the Third Proportional to 6,322,274 and 14,919,584

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Solution

The third proportional to 6,322,274 and 14,919,584 is: 35,207,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322,274 : 14,919,584 = 14,919,584 : x
  2. Step 2: Convert to fraction form
    6,322,274/14,919,584 = 14,919,584/x
  3. Step 3: Cross multiply
    6,322,274x = 14,919,584 × 14,919,584
  4. Step 4: Simplify right side
    6,322,274x = 222,593,986,733,056
  5. Step 5: Solve for x
    x = 222,593,986,733,056/6,322,274
  6. Step 6: Final answer
    x = 35,207,899.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.