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Finding the Third Proportional to 6,457,398 and 14,049,825

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Solution

The third proportional to 6,457,398 and 14,049,825 is: 30,569,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,398 : 14,049,825 = 14,049,825 : x
  2. Step 2: Convert to fraction form
    6,457,398/14,049,825 = 14,049,825/x
  3. Step 3: Cross multiply
    6,457,398x = 14,049,825 × 14,049,825
  4. Step 4: Simplify right side
    6,457,398x = 197,397,582,530,625
  5. Step 5: Solve for x
    x = 197,397,582,530,625/6,457,398
  6. Step 6: Final answer
    x = 30,569,214.18

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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.