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Finding the Third Proportional to 3,884,761 and 8,459,203

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Solution

The third proportional to 3,884,761 and 8,459,203 is: 18,420,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,761 : 8,459,203 = 8,459,203 : x
  2. Step 2: Convert to fraction form
    3,884,761/8,459,203 = 8,459,203/x
  3. Step 3: Cross multiply
    3,884,761x = 8,459,203 × 8,459,203
  4. Step 4: Simplify right side
    3,884,761x = 71,558,115,395,209
  5. Step 5: Solve for x
    x = 71,558,115,395,209/3,884,761
  6. Step 6: Final answer
    x = 18,420,210.51

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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.