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Finding the Third Proportional to 7,982,463 and 17,510,142

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Solution

The third proportional to 7,982,463 and 17,510,142 is: 38,409,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982,463 : 17,510,142 = 17,510,142 : x
  2. Step 2: Convert to fraction form
    7,982,463/17,510,142 = 17,510,142/x
  3. Step 3: Cross multiply
    7,982,463x = 17,510,142 × 17,510,142
  4. Step 4: Simplify right side
    7,982,463x = 306,605,072,860,164
  5. Step 5: Solve for x
    x = 306,605,072,860,164/7,982,463
  6. Step 6: Final answer
    x = 38,409,833.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.