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Finding the Third Proportional to 7,801,821 and 10,352,180.25

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Solution

The third proportional to 7,801,821 and 10,352,180.25 is: 13,736,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801,821 : 10,352,180.25 = 10,352,180.25 : x
  2. Step 2: Convert to fraction form
    7,801,821/10,352,180.25 = 10,352,180.25/x
  3. Step 3: Cross multiply
    7,801,821x = 10,352,180.25 × 10,352,180.25
  4. Step 4: Simplify right side
    7,801,821x = 107,167,635,928,490.06
  5. Step 5: Solve for x
    x = 107,167,635,928,490.06/7,801,821
  6. Step 6: Final answer
    x = 13,736,233.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.