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Finding the Third Proportional to 9,194,632.31 and 19,510,034.63

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Solution

The third proportional to 9,194,632.31 and 19,510,034.63 is: 41,398,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194,632.31 : 19,510,034.63 = 19,510,034.63 : x
  2. Step 2: Convert to fraction form
    9,194,632.31/19,510,034.63 = 19,510,034.63/x
  3. Step 3: Cross multiply
    9,194,632.31x = 19,510,034.63 × 19,510,034.63
  4. Step 4: Simplify right side
    9,194,632.31x = 380,641,451,068,698.88
  5. Step 5: Solve for x
    x = 380,641,451,068,698.88/9,194,632.31
  6. Step 6: Final answer
    x = 41,398,224.33

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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.