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Finding the Third Proportional to 6,546,864 and 14,139,114

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Solution

The third proportional to 6,546,864 and 14,139,114 is: 30,535,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546,864 : 14,139,114 = 14,139,114 : x
  2. Step 2: Convert to fraction form
    6,546,864/14,139,114 = 14,139,114/x
  3. Step 3: Cross multiply
    6,546,864x = 14,139,114 × 14,139,114
  4. Step 4: Simplify right side
    6,546,864x = 199,914,544,704,996
  5. Step 5: Solve for x
    x = 199,914,544,704,996/6,546,864
  6. Step 6: Final answer
    x = 30,535,924.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.