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Finding the Third Proportional to 5,380,283.25 and 11,639,740.50

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Solution

The third proportional to 5,380,283.25 and 11,639,740.50 is: 25,181,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380,283.25 : 11,639,740.50 = 11,639,740.50 : x
  2. Step 2: Convert to fraction form
    5,380,283.25/11,639,740.50 = 11,639,740.50/x
  3. Step 3: Cross multiply
    5,380,283.25x = 11,639,740.50 × 11,639,740.50
  4. Step 4: Simplify right side
    5,380,283.25x = 135,483,558,907,340.25
  5. Step 5: Solve for x
    x = 135,483,558,907,340.25/5,380,283.25
  6. Step 6: Final answer
    x = 25,181,491.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.