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Finding the Third Proportional to 7,632,766.69 and 11,803,455.42

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Solution

The third proportional to 7,632,766.69 and 11,803,455.42 is: 18,253,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632,766.69 : 11,803,455.42 = 11,803,455.42 : x
  2. Step 2: Convert to fraction form
    7,632,766.69/11,803,455.42 = 11,803,455.42/x
  3. Step 3: Cross multiply
    7,632,766.69x = 11,803,455.42 × 11,803,455.42
  4. Step 4: Simplify right side
    7,632,766.69x = 139,321,559,896,190.33
  5. Step 5: Solve for x
    x = 139,321,559,896,190.33/7,632,766.69
  6. Step 6: Final answer
    x = 18,253,087.72

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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.