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Finding the Third Proportional to 853,315,616,530 and 1,232,893,707,782

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Solution

The third proportional to 853,315,616,530 and 1,232,893,707,782 is: 1,781,318,500,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,315,616,530 : 1,232,893,707,782 = 1,232,893,707,782 : x
  2. Step 2: Convert to fraction form
    853,315,616,530/1,232,893,707,782 = 1,232,893,707,782/x
  3. Step 3: Cross multiply
    853,315,616,530x = 1,232,893,707,782 × 1,232,893,707,782
  4. Step 4: Simplify right side
    853,315,616,530x = 1,520,026,894,688,447,499,337,728
  5. Step 5: Solve for x
    x = 1,520,026,894,688,447,499,337,728/853,315,616,530
  6. Step 6: Final answer
    x = 1,781,318,500,732.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.