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Finding the Third Proportional to 6,774,774 and 14,531,916

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Solution

The third proportional to 6,774,774 and 14,531,916 is: 31,171,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,774 : 14,531,916 = 14,531,916 : x
  2. Step 2: Convert to fraction form
    6,774,774/14,531,916 = 14,531,916/x
  3. Step 3: Cross multiply
    6,774,774x = 14,531,916 × 14,531,916
  4. Step 4: Simplify right side
    6,774,774x = 211,176,582,631,056
  5. Step 5: Solve for x
    x = 211,176,582,631,056/6,774,774
  6. Step 6: Final answer
    x = 31,171,015.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.