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Finding the Third Proportional to 9,228,219 and 20,193,265.50

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Solution

The third proportional to 9,228,219 and 20,193,265.50 is: 44,187,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228,219 : 20,193,265.50 = 20,193,265.50 : x
  2. Step 2: Convert to fraction form
    9,228,219/20,193,265.50 = 20,193,265.50/x
  3. Step 3: Cross multiply
    9,228,219x = 20,193,265.50 × 20,193,265.50
  4. Step 4: Simplify right side
    9,228,219x = 407,767,971,553,490.25
  5. Step 5: Solve for x
    x = 407,767,971,553,490.25/9,228,219
  6. Step 6: Final answer
    x = 44,187,071.37

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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.