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Finding the Third Proportional to 441,986,024.38 and 962,442,634.25

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Solution

The third proportional to 441,986,024.38 and 962,442,634.25 is: 2,095,758,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,986,024.38 : 962,442,634.25 = 962,442,634.25 : x
  2. Step 2: Convert to fraction form
    441,986,024.38/962,442,634.25 = 962,442,634.25/x
  3. Step 3: Cross multiply
    441,986,024.38x = 962,442,634.25 × 962,442,634.25
  4. Step 4: Simplify right side
    441,986,024.38x = 926,295,824,222,079,232
  5. Step 5: Solve for x
    x = 926,295,824,222,079,232/441,986,024.38
  6. Step 6: Final answer
    x = 2,095,758,175.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.