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Finding the Third Proportional to 7,683,469.50 and 16,456,267.50

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Solution

The third proportional to 7,683,469.50 and 16,456,267.50 is: 35,245,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683,469.50 : 16,456,267.50 = 16,456,267.50 : x
  2. Step 2: Convert to fraction form
    7,683,469.50/16,456,267.50 = 16,456,267.50/x
  3. Step 3: Cross multiply
    7,683,469.50x = 16,456,267.50 × 16,456,267.50
  4. Step 4: Simplify right side
    7,683,469.50x = 270,808,740,031,556.25
  5. Step 5: Solve for x
    x = 270,808,740,031,556.25/7,683,469.50
  6. Step 6: Final answer
    x = 35,245,632.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.