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Finding the Third Proportional to 4,661,999 and 7,200,034.50

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Solution

The third proportional to 4,661,999 and 7,200,034.50 is: 11,119,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,999 : 7,200,034.50 = 7,200,034.50 : x
  2. Step 2: Convert to fraction form
    4,661,999/7,200,034.50 = 7,200,034.50/x
  3. Step 3: Cross multiply
    4,661,999x = 7,200,034.50 × 7,200,034.50
  4. Step 4: Simplify right side
    4,661,999x = 51,840,496,801,190.25
  5. Step 5: Solve for x
    x = 51,840,496,801,190.25/4,661,999
  6. Step 6: Final answer
    x = 11,119,800.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.