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Finding the Third Proportional to 7,567,615.69 and 17,766,163.69

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Solution

The third proportional to 7,567,615.69 and 17,766,163.69 is: 41,708,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,615.69 : 17,766,163.69 = 17,766,163.69 : x
  2. Step 2: Convert to fraction form
    7,567,615.69/17,766,163.69 = 17,766,163.69/x
  3. Step 3: Cross multiply
    7,567,615.69x = 17,766,163.69 × 17,766,163.69
  4. Step 4: Simplify right side
    7,567,615.69x = 315,636,572,171,043.62
  5. Step 5: Solve for x
    x = 315,636,572,171,043.62/7,567,615.69
  6. Step 6: Final answer
    x = 41,708,853.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.