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Finding the Third Proportional to 7,797,943.41 and 17,388,882.56

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Solution

The third proportional to 7,797,943.41 and 17,388,882.56 is: 38,776,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,943.41 : 17,388,882.56 = 17,388,882.56 : x
  2. Step 2: Convert to fraction form
    7,797,943.41/17,388,882.56 = 17,388,882.56/x
  3. Step 3: Cross multiply
    7,797,943.41x = 17,388,882.56 × 17,388,882.56
  4. Step 4: Simplify right side
    7,797,943.41x = 302,373,236,772,416.56
  5. Step 5: Solve for x
    x = 302,373,236,772,416.56/7,797,943.41
  6. Step 6: Final answer
    x = 38,776,023.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.