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Finding the Third Proportional to 24,225,986.25 and 36,356,697.56

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Solution

The third proportional to 24,225,986.25 and 36,356,697.56 is: 54,561,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225,986.25 : 36,356,697.56 = 36,356,697.56 : x
  2. Step 2: Convert to fraction form
    24,225,986.25/36,356,697.56 = 36,356,697.56/x
  3. Step 3: Cross multiply
    24,225,986.25x = 36,356,697.56 × 36,356,697.56
  4. Step 4: Simplify right side
    24,225,986.25x = 1,321,809,457,651,093.50
  5. Step 5: Solve for x
    x = 1,321,809,457,651,093.50/24,225,986.25
  6. Step 6: Final answer
    x = 54,561,636.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.