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Finding the Third Proportional to 9,194,635.88 and 19,510,041.75

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Solution

The third proportional to 9,194,635.88 and 19,510,041.75 is: 41,398,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194,635.88 : 19,510,041.75 = 19,510,041.75 : x
  2. Step 2: Convert to fraction form
    9,194,635.88/19,510,041.75 = 19,510,041.75/x
  3. Step 3: Cross multiply
    9,194,635.88x = 19,510,041.75 × 19,510,041.75
  4. Step 4: Simplify right side
    9,194,635.88x = 380,641,729,086,743.06
  5. Step 5: Solve for x
    x = 380,641,729,086,743.06/9,194,635.88
  6. Step 6: Final answer
    x = 41,398,238.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.