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Finding the Third Proportional to 6,410,198.81 and 9,912,284.72

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Solution

The third proportional to 6,410,198.81 and 9,912,284.72 is: 15,327,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,198.81 : 9,912,284.72 = 9,912,284.72 : x
  2. Step 2: Convert to fraction form
    6,410,198.81/9,912,284.72 = 9,912,284.72/x
  3. Step 3: Cross multiply
    6,410,198.81x = 9,912,284.72 × 9,912,284.72
  4. Step 4: Simplify right side
    6,410,198.81x = 98,253,388,345,564.77
  5. Step 5: Solve for x
    x = 98,253,388,345,564.77/6,410,198.81
  6. Step 6: Final answer
    x = 15,327,666.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.