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Finding the Third Proportional to 3,834,012 and 8,206,592

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Solution

The third proportional to 3,834,012 and 8,206,592 is: 17,565,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,012 : 8,206,592 = 8,206,592 : x
  2. Step 2: Convert to fraction form
    3,834,012/8,206,592 = 8,206,592/x
  3. Step 3: Cross multiply
    3,834,012x = 8,206,592 × 8,206,592
  4. Step 4: Simplify right side
    3,834,012x = 67,348,152,254,464
  5. Step 5: Solve for x
    x = 67,348,152,254,464/3,834,012
  6. Step 6: Final answer
    x = 17,565,973.26

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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.