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Finding the Third Proportional to 3,884,757.47 and 8,459,194.50

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Solution

The third proportional to 3,884,757.47 and 8,459,194.50 is: 18,420,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,757.47 : 8,459,194.50 = 8,459,194.50 : x
  2. Step 2: Convert to fraction form
    3,884,757.47/8,459,194.50 = 8,459,194.50/x
  3. Step 3: Cross multiply
    3,884,757.47x = 8,459,194.50 × 8,459,194.50
  4. Step 4: Simplify right side
    3,884,757.47x = 71,557,971,588,830.25
  5. Step 5: Solve for x
    x = 71,557,971,588,830.25/3,884,757.47
  6. Step 6: Final answer
    x = 18,420,190.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.