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Finding the Third Proportional to 21,969,459.75 and 47,844,576.75

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Solution

The third proportional to 21,969,459.75 and 47,844,576.75 is: 104,194,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969,459.75 : 47,844,576.75 = 47,844,576.75 : x
  2. Step 2: Convert to fraction form
    21,969,459.75/47,844,576.75 = 47,844,576.75/x
  3. Step 3: Cross multiply
    21,969,459.75x = 47,844,576.75 × 47,844,576.75
  4. Step 4: Simplify right side
    21,969,459.75x = 2,289,103,524,386,640.50
  5. Step 5: Solve for x
    x = 2,289,103,524,386,640.50/21,969,459.75
  6. Step 6: Final answer
    x = 104,194,802.71

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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.