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Finding the Third Proportional to 7,714,019 and 16,588,971

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Solution

The third proportional to 7,714,019 and 16,588,971 is: 35,674,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,019 : 16,588,971 = 16,588,971 : x
  2. Step 2: Convert to fraction form
    7,714,019/16,588,971 = 16,588,971/x
  3. Step 3: Cross multiply
    7,714,019x = 16,588,971 × 16,588,971
  4. Step 4: Simplify right side
    7,714,019x = 275,193,958,838,841
  5. Step 5: Solve for x
    x = 275,193,958,838,841/7,714,019
  6. Step 6: Final answer
    x = 35,674,524.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.