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Finding the Third Proportional to 6,889,549.50 and 16,091,979.75

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Solution

The third proportional to 6,889,549.50 and 16,091,979.75 is: 37,586,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889,549.50 : 16,091,979.75 = 16,091,979.75 : x
  2. Step 2: Convert to fraction form
    6,889,549.50/16,091,979.75 = 16,091,979.75/x
  3. Step 3: Cross multiply
    6,889,549.50x = 16,091,979.75 × 16,091,979.75
  4. Step 4: Simplify right side
    6,889,549.50x = 258,951,812,274,410.06
  5. Step 5: Solve for x
    x = 258,951,812,274,410.06/6,889,549.50
  6. Step 6: Final answer
    x = 37,586,174.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.