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Finding the Third Proportional to 3,739,143.94 and 8,133,421.50

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Solution

The third proportional to 3,739,143.94 and 8,133,421.50 is: 17,691,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739,143.94 : 8,133,421.50 = 8,133,421.50 : x
  2. Step 2: Convert to fraction form
    3,739,143.94/8,133,421.50 = 8,133,421.50/x
  3. Step 3: Cross multiply
    3,739,143.94x = 8,133,421.50 × 8,133,421.50
  4. Step 4: Simplify right side
    3,739,143.94x = 66,152,545,296,662.25
  5. Step 5: Solve for x
    x = 66,152,545,296,662.25/3,739,143.94
  6. Step 6: Final answer
    x = 17,691,895.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.