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Finding the Third Proportional to 6,471,378 and 14,080,932

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Solution

The third proportional to 6,471,378 and 14,080,932 is: 30,638,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,378 : 14,080,932 = 14,080,932 : x
  2. Step 2: Convert to fraction form
    6,471,378/14,080,932 = 14,080,932/x
  3. Step 3: Cross multiply
    6,471,378x = 14,080,932 × 14,080,932
  4. Step 4: Simplify right side
    6,471,378x = 198,272,645,988,624
  5. Step 5: Solve for x
    x = 198,272,645,988,624/6,471,378
  6. Step 6: Final answer
    x = 30,638,396.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.