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Finding the Third Proportional to 141,707,027,013 and 312,298,459,949

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Solution

The third proportional to 141,707,027,013 and 312,298,459,949 is: 688,253,293,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,707,027,013 : 312,298,459,949 = 312,298,459,949 : x
  2. Step 2: Convert to fraction form
    141,707,027,013/312,298,459,949 = 312,298,459,949/x
  3. Step 3: Cross multiply
    141,707,027,013x = 312,298,459,949 × 312,298,459,949
  4. Step 4: Simplify right side
    141,707,027,013x = 97,530,328,086,517,150,384,128
  5. Step 5: Solve for x
    x = 97,530,328,086,517,150,384,128/141,707,027,013
  6. Step 6: Final answer
    x = 688,253,293,730.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.