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Finding the Third Proportional to 5,721,975 and 12,428,100

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Solution

The third proportional to 5,721,975 and 12,428,100 is: 26,993,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721,975 : 12,428,100 = 12,428,100 : x
  2. Step 2: Convert to fraction form
    5,721,975/12,428,100 = 12,428,100/x
  3. Step 3: Cross multiply
    5,721,975x = 12,428,100 × 12,428,100
  4. Step 4: Simplify right side
    5,721,975x = 154,457,669,610,000
  5. Step 5: Solve for x
    x = 154,457,669,610,000/5,721,975
  6. Step 6: Final answer
    x = 26,993,768.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.