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Finding the Third Proportional to 409,825,263 and 629,541,729

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Solution

The third proportional to 409,825,263 and 629,541,729 is: 967,053,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,825,263 : 629,541,729 = 629,541,729 : x
  2. Step 2: Convert to fraction form
    409,825,263/629,541,729 = 629,541,729/x
  3. Step 3: Cross multiply
    409,825,263x = 629,541,729 × 629,541,729
  4. Step 4: Simplify right side
    409,825,263x = 396,322,788,552,309,440
  5. Step 5: Solve for x
    x = 396,322,788,552,309,440/409,825,263
  6. Step 6: Final answer
    x = 967,053,093.92

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Why These Related Problems?

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