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Finding the Third Proportional to 12,382,040 and 16,814,496

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Solution

The third proportional to 12,382,040 and 16,814,496 is: 22,833,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382,040 : 16,814,496 = 16,814,496 : x
  2. Step 2: Convert to fraction form
    12,382,040/16,814,496 = 16,814,496/x
  3. Step 3: Cross multiply
    12,382,040x = 16,814,496 × 16,814,496
  4. Step 4: Simplify right side
    12,382,040x = 282,727,275,734,016
  5. Step 5: Solve for x
    x = 282,727,275,734,016/12,382,040
  6. Step 6: Final answer
    x = 22,833,658.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.