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Finding the Third Proportional to 3,226,666.50 and 7,083,184.50

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Solution

The third proportional to 3,226,666.50 and 7,083,184.50 is: 15,549,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226,666.50 : 7,083,184.50 = 7,083,184.50 : x
  2. Step 2: Convert to fraction form
    3,226,666.50/7,083,184.50 = 7,083,184.50/x
  3. Step 3: Cross multiply
    3,226,666.50x = 7,083,184.50 × 7,083,184.50
  4. Step 4: Simplify right side
    3,226,666.50x = 50,171,502,661,040.25
  5. Step 5: Solve for x
    x = 50,171,502,661,040.25/3,226,666.50
  6. Step 6: Final answer
    x = 15,549,020.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.