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Finding the Third Proportional to 7,198,719.50 and 10,185,965.75

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Solution

The third proportional to 7,198,719.50 and 10,185,965.75 is: 14,412,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,719.50 : 10,185,965.75 = 10,185,965.75 : x
  2. Step 2: Convert to fraction form
    7,198,719.50/10,185,965.75 = 10,185,965.75/x
  3. Step 3: Cross multiply
    7,198,719.50x = 10,185,965.75 × 10,185,965.75
  4. Step 4: Simplify right side
    7,198,719.50x = 103,753,898,260,173.06
  5. Step 5: Solve for x
    x = 103,753,898,260,173.06/7,198,719.50
  6. Step 6: Final answer
    x = 14,412,826.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.