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Finding the Third Proportional to 4,614,205.50 and 10,097,237.25

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Solution

The third proportional to 4,614,205.50 and 10,097,237.25 is: 22,095,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614,205.50 : 10,097,237.25 = 10,097,237.25 : x
  2. Step 2: Convert to fraction form
    4,614,205.50/10,097,237.25 = 10,097,237.25/x
  3. Step 3: Cross multiply
    4,614,205.50x = 10,097,237.25 × 10,097,237.25
  4. Step 4: Simplify right side
    4,614,205.50x = 101,954,200,082,787.56
  5. Step 5: Solve for x
    x = 101,954,200,082,787.56/4,614,205.50
  6. Step 6: Final answer
    x = 22,095,721.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.