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Finding the Third Proportional to 3,947,465 and 8,205,202

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Solution

The third proportional to 3,947,465 and 8,205,202 is: 17,055,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,465 : 8,205,202 = 8,205,202 : x
  2. Step 2: Convert to fraction form
    3,947,465/8,205,202 = 8,205,202/x
  3. Step 3: Cross multiply
    3,947,465x = 8,205,202 × 8,205,202
  4. Step 4: Simplify right side
    3,947,465x = 67,325,339,860,804
  5. Step 5: Solve for x
    x = 67,325,339,860,804/3,947,465
  6. Step 6: Final answer
    x = 17,055,335.48

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