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Finding the Third Proportional to 2,147,145 and 4,680,089

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Solution

The third proportional to 2,147,145 and 4,680,089 is: 10,201,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,145 : 4,680,089 = 4,680,089 : x
  2. Step 2: Convert to fraction form
    2,147,145/4,680,089 = 4,680,089/x
  3. Step 3: Cross multiply
    2,147,145x = 4,680,089 × 4,680,089
  4. Step 4: Simplify right side
    2,147,145x = 21,903,233,047,921
  5. Step 5: Solve for x
    x = 21,903,233,047,921/2,147,145
  6. Step 6: Final answer
    x = 10,201,096.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.