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Finding the Third Proportional to 5,811,874 and 9,071,021

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Solution

The third proportional to 5,811,874 and 9,071,021 is: 14,157,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811,874 : 9,071,021 = 9,071,021 : x
  2. Step 2: Convert to fraction form
    5,811,874/9,071,021 = 9,071,021/x
  3. Step 3: Cross multiply
    5,811,874x = 9,071,021 × 9,071,021
  4. Step 4: Simplify right side
    5,811,874x = 82,283,421,982,441
  5. Step 5: Solve for x
    x = 82,283,421,982,441/5,811,874
  6. Step 6: Final answer
    x = 14,157,812.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.