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Finding the Third Proportional to 9,663,302.25 and 20,839,731.75

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Solution

The third proportional to 9,663,302.25 and 20,839,731.75 is: 44,942,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663,302.25 : 20,839,731.75 = 20,839,731.75 : x
  2. Step 2: Convert to fraction form
    9,663,302.25/20,839,731.75 = 20,839,731.75/x
  3. Step 3: Cross multiply
    9,663,302.25x = 20,839,731.75 × 20,839,731.75
  4. Step 4: Simplify right side
    9,663,302.25x = 434,294,419,411,958.06
  5. Step 5: Solve for x
    x = 434,294,419,411,958.06/9,663,302.25
  6. Step 6: Final answer
    x = 44,942,650.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.