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Finding the Third Proportional to 9,902,419 and 15,147,869

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Solution

The third proportional to 9,902,419 and 15,147,869 is: 23,171,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902,419 : 15,147,869 = 15,147,869 : x
  2. Step 2: Convert to fraction form
    9,902,419/15,147,869 = 15,147,869/x
  3. Step 3: Cross multiply
    9,902,419x = 15,147,869 × 15,147,869
  4. Step 4: Simplify right side
    9,902,419x = 229,457,935,241,161
  5. Step 5: Solve for x
    x = 229,457,935,241,161/9,902,419
  6. Step 6: Final answer
    x = 23,171,907.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.