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Finding the Third Proportional to 6,846,183 and 14,833,971

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Solution

The third proportional to 6,846,183 and 14,833,971 is: 32,141,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846,183 : 14,833,971 = 14,833,971 : x
  2. Step 2: Convert to fraction form
    6,846,183/14,833,971 = 14,833,971/x
  3. Step 3: Cross multiply
    6,846,183x = 14,833,971 × 14,833,971
  4. Step 4: Simplify right side
    6,846,183x = 220,046,695,628,841
  5. Step 5: Solve for x
    x = 220,046,695,628,841/6,846,183
  6. Step 6: Final answer
    x = 32,141,515.30

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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.