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Finding the Third Proportional to 3,742,617.94 and 8,120,475.94

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Solution

The third proportional to 3,742,617.94 and 8,120,475.94 is: 17,619,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,617.94 : 8,120,475.94 = 8,120,475.94 : x
  2. Step 2: Convert to fraction form
    3,742,617.94/8,120,475.94 = 8,120,475.94/x
  3. Step 3: Cross multiply
    3,742,617.94x = 8,120,475.94 × 8,120,475.94
  4. Step 4: Simplify right side
    3,742,617.94x = 65,942,129,451,516.50
  5. Step 5: Solve for x
    x = 65,942,129,451,516.50/3,742,617.94
  6. Step 6: Final answer
    x = 17,619,252.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.