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Finding the Third Proportional to 3,837,129 and 8,205,954

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Solution

The third proportional to 3,837,129 and 8,205,954 is: 17,548,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,129 : 8,205,954 = 8,205,954 : x
  2. Step 2: Convert to fraction form
    3,837,129/8,205,954 = 8,205,954/x
  3. Step 3: Cross multiply
    3,837,129x = 8,205,954 × 8,205,954
  4. Step 4: Simplify right side
    3,837,129x = 67,337,681,050,116
  5. Step 5: Solve for x
    x = 67,337,681,050,116/3,837,129
  6. Step 6: Final answer
    x = 17,548,975.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.