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Finding the Third Proportional to 447,394,989,519 and 981,407,953,050

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Solution

The third proportional to 447,394,989,519 and 981,407,953,050 is: 2,152,821,539,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,394,989,519 : 981,407,953,050 = 981,407,953,050 : x
  2. Step 2: Convert to fraction form
    447,394,989,519/981,407,953,050 = 981,407,953,050/x
  3. Step 3: Cross multiply
    447,394,989,519x = 981,407,953,050 × 981,407,953,050
  4. Step 4: Simplify right side
    447,394,989,519x = 963,161,570,309,790,962,286,592
  5. Step 5: Solve for x
    x = 963,161,570,309,790,962,286,592/447,394,989,519
  6. Step 6: Final answer
    x = 2,152,821,539,966.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.