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Finding the Third Proportional to 7,823,211.19 and 15,867,505.97

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Solution

The third proportional to 7,823,211.19 and 15,867,505.97 is: 32,183,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823,211.19 : 15,867,505.97 = 15,867,505.97 : x
  2. Step 2: Convert to fraction form
    7,823,211.19/15,867,505.97 = 15,867,505.97/x
  3. Step 3: Cross multiply
    7,823,211.19x = 15,867,505.97 × 15,867,505.97
  4. Step 4: Simplify right side
    7,823,211.19x = 251,777,745,668,316.88
  5. Step 5: Solve for x
    x = 251,777,745,668,316.88/7,823,211.19
  6. Step 6: Final answer
    x = 32,183,426.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.