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Finding the Third Proportional to 6,684,012 and 14,270,040

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Solution

The third proportional to 6,684,012 and 14,270,040 is: 30,465,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,012 : 14,270,040 = 14,270,040 : x
  2. Step 2: Convert to fraction form
    6,684,012/14,270,040 = 14,270,040/x
  3. Step 3: Cross multiply
    6,684,012x = 14,270,040 × 14,270,040
  4. Step 4: Simplify right side
    6,684,012x = 203,634,041,601,600
  5. Step 5: Solve for x
    x = 203,634,041,601,600/6,684,012
  6. Step 6: Final answer
    x = 30,465,840.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.