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Finding the Third Proportional to 2,961,088.31 and 6,362,855.44

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Solution

The third proportional to 2,961,088.31 and 6,362,855.44 is: 13,672,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,088.31 : 6,362,855.44 = 6,362,855.44 : x
  2. Step 2: Convert to fraction form
    2,961,088.31/6,362,855.44 = 6,362,855.44/x
  3. Step 3: Cross multiply
    2,961,088.31x = 6,362,855.44 × 6,362,855.44
  4. Step 4: Simplify right side
    2,961,088.31x = 40,485,929,318,523.31
  5. Step 5: Solve for x
    x = 40,485,929,318,523.31/2,961,088.31
  6. Step 6: Final answer
    x = 13,672,651.76

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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.