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Finding the Third Proportional to 22,483,491.75 and 49,033,046.25

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Solution

The third proportional to 22,483,491.75 and 49,033,046.25 is: 106,933,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483,491.75 : 49,033,046.25 = 49,033,046.25 : x
  2. Step 2: Convert to fraction form
    22,483,491.75/49,033,046.25 = 49,033,046.25/x
  3. Step 3: Cross multiply
    22,483,491.75x = 49,033,046.25 × 49,033,046.25
  4. Step 4: Simplify right side
    22,483,491.75x = 2,404,239,624,554,639
  5. Step 5: Solve for x
    x = 2,404,239,624,554,639/22,483,491.75
  6. Step 6: Final answer
    x = 106,933,551.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.