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Finding the Third Proportional to 31,861,706 and 49,200,049

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Solution

The third proportional to 31,861,706 and 49,200,049 is: 75,973,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861,706 : 49,200,049 = 49,200,049 : x
  2. Step 2: Convert to fraction form
    31,861,706/49,200,049 = 49,200,049/x
  3. Step 3: Cross multiply
    31,861,706x = 49,200,049 × 49,200,049
  4. Step 4: Simplify right side
    31,861,706x = 2,420,644,821,602,401
  5. Step 5: Solve for x
    x = 2,420,644,821,602,401/31,861,706
  6. Step 6: Final answer
    x = 75,973,484.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.