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Finding the Third Proportional to 7,907,766.75 and 17,265,757.50

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Solution

The third proportional to 7,907,766.75 and 17,265,757.50 is: 37,697,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907,766.75 : 17,265,757.50 = 17,265,757.50 : x
  2. Step 2: Convert to fraction form
    7,907,766.75/17,265,757.50 = 17,265,757.50/x
  3. Step 3: Cross multiply
    7,907,766.75x = 17,265,757.50 × 17,265,757.50
  4. Step 4: Simplify right side
    7,907,766.75x = 298,106,382,048,806.25
  5. Step 5: Solve for x
    x = 298,106,382,048,806.25/7,907,766.75
  6. Step 6: Final answer
    x = 37,697,923.00

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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.