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Finding the Third Proportional to 6,485,344 and 14,078,336

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Solution

The third proportional to 6,485,344 and 14,078,336 is: 30,561,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,344 : 14,078,336 = 14,078,336 : x
  2. Step 2: Convert to fraction form
    6,485,344/14,078,336 = 14,078,336/x
  3. Step 3: Cross multiply
    6,485,344x = 14,078,336 × 14,078,336
  4. Step 4: Simplify right side
    6,485,344x = 198,199,544,528,896
  5. Step 5: Solve for x
    x = 198,199,544,528,896/6,485,344
  6. Step 6: Final answer
    x = 30,561,145.95

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Why These Related Problems?

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