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Finding the Third Proportional to 4,101,496.50 and 8,976,216

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Solution

The third proportional to 4,101,496.50 and 8,976,216 is: 19,644,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101,496.50 : 8,976,216 = 8,976,216 : x
  2. Step 2: Convert to fraction form
    4,101,496.50/8,976,216 = 8,976,216/x
  3. Step 3: Cross multiply
    4,101,496.50x = 8,976,216 × 8,976,216
  4. Step 4: Simplify right side
    4,101,496.50x = 80,572,453,678,656
  5. Step 5: Solve for x
    x = 80,572,453,678,656/4,101,496.50
  6. Step 6: Final answer
    x = 19,644,647.67

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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.