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Finding the Third Proportional to 4,436,073.21 and 9,209,217.80

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Solution

The third proportional to 4,436,073.21 and 9,209,217.80 is: 19,118,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436,073.21 : 9,209,217.80 = 9,209,217.80 : x
  2. Step 2: Convert to fraction form
    4,436,073.21/9,209,217.80 = 9,209,217.80/x
  3. Step 3: Cross multiply
    4,436,073.21x = 9,209,217.80 × 9,209,217.80
  4. Step 4: Simplify right side
    4,436,073.21x = 84,809,692,430,279.23
  5. Step 5: Solve for x
    x = 84,809,692,430,279.23/4,436,073.21
  6. Step 6: Final answer
    x = 19,118,190.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.