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Finding the Third Proportional to 8,426,176 and 12,713,824

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Solution

The third proportional to 8,426,176 and 12,713,824 is: 19,183,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426,176 : 12,713,824 = 12,713,824 : x
  2. Step 2: Convert to fraction form
    8,426,176/12,713,824 = 12,713,824/x
  3. Step 3: Cross multiply
    8,426,176x = 12,713,824 × 12,713,824
  4. Step 4: Simplify right side
    8,426,176x = 161,641,320,702,976
  5. Step 5: Solve for x
    x = 161,641,320,702,976/8,426,176
  6. Step 6: Final answer
    x = 19,183,235.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.