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Finding the Third Proportional to 981,144,727.88 and 1,508,090,394.94

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Solution

The third proportional to 981,144,727.88 and 1,508,090,394.94 is: 2,318,043,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,144,727.88 : 1,508,090,394.94 = 1,508,090,394.94 : x
  2. Step 2: Convert to fraction form
    981,144,727.88/1,508,090,394.94 = 1,508,090,394.94/x
  3. Step 3: Cross multiply
    981,144,727.88x = 1,508,090,394.94 × 1,508,090,394.94
  4. Step 4: Simplify right side
    981,144,727.88x = 2,274,336,639,302,744,832
  5. Step 5: Solve for x
    x = 2,274,336,639,302,744,832/981,144,727.88
  6. Step 6: Final answer
    x = 2,318,043,989.52

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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.