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Finding the Third Proportional to 409,861,424 and 633,944,433

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Solution

The third proportional to 409,861,424 and 633,944,433 is: 980,540,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,424 : 633,944,433 = 633,944,433 : x
  2. Step 2: Convert to fraction form
    409,861,424/633,944,433 = 633,944,433/x
  3. Step 3: Cross multiply
    409,861,424x = 633,944,433 × 633,944,433
  4. Step 4: Simplify right side
    409,861,424x = 401,885,544,131,691,520
  5. Step 5: Solve for x
    x = 401,885,544,131,691,520/409,861,424
  6. Step 6: Final answer
    x = 980,540,057.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.