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Finding the Third Proportional to 6,340,965 and 14,134,194

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Solution

The third proportional to 6,340,965 and 14,134,194 is: 31,505,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340,965 : 14,134,194 = 14,134,194 : x
  2. Step 2: Convert to fraction form
    6,340,965/14,134,194 = 14,134,194/x
  3. Step 3: Cross multiply
    6,340,965x = 14,134,194 × 14,134,194
  4. Step 4: Simplify right side
    6,340,965x = 199,775,440,029,636
  5. Step 5: Solve for x
    x = 199,775,440,029,636/6,340,965
  6. Step 6: Final answer
    x = 31,505,526.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.