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Finding the Third Proportional to 1,295,806,340 and 2,086,675,158

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Solution

The third proportional to 1,295,806,340 and 2,086,675,158 is: 3,360,234,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,806,340 : 2,086,675,158 = 2,086,675,158 : x
  2. Step 2: Convert to fraction form
    1,295,806,340/2,086,675,158 = 2,086,675,158/x
  3. Step 3: Cross multiply
    1,295,806,340x = 2,086,675,158 × 2,086,675,158
  4. Step 4: Simplify right side
    1,295,806,340x = 4,354,213,215,014,324,736
  5. Step 5: Solve for x
    x = 4,354,213,215,014,324,736/1,295,806,340
  6. Step 6: Final answer
    x = 3,360,234,535.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.