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Finding the Third Proportional to 7,198,742.11 and 10,185,998.06

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Solution

The third proportional to 7,198,742.11 and 10,185,998.06 is: 14,412,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,742.11 : 10,185,998.06 = 10,185,998.06 : x
  2. Step 2: Convert to fraction form
    7,198,742.11/10,185,998.06 = 10,185,998.06/x
  3. Step 3: Cross multiply
    7,198,742.11x = 10,185,998.06 × 10,185,998.06
  4. Step 4: Simplify right side
    7,198,742.11x = 103,754,556,529,253.75
  5. Step 5: Solve for x
    x = 103,754,556,529,253.75/7,198,742.11
  6. Step 6: Final answer
    x = 14,412,873.10

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