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Finding the Third Proportional to 9,846,762 and 15,821,107.50

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Solution

The third proportional to 9,846,762 and 15,821,107.50 is: 25,420,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846,762 : 15,821,107.50 = 15,821,107.50 : x
  2. Step 2: Convert to fraction form
    9,846,762/15,821,107.50 = 15,821,107.50/x
  3. Step 3: Cross multiply
    9,846,762x = 15,821,107.50 × 15,821,107.50
  4. Step 4: Simplify right side
    9,846,762x = 250,307,442,526,556.25
  5. Step 5: Solve for x
    x = 250,307,442,526,556.25/9,846,762
  6. Step 6: Final answer
    x = 25,420,279.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.