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Finding the Third Proportional to 1,093,086,171 and 2,360,350,689

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Solution

The third proportional to 1,093,086,171 and 2,360,350,689 is: 5,096,812,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,086,171 : 2,360,350,689 = 2,360,350,689 : x
  2. Step 2: Convert to fraction form
    1,093,086,171/2,360,350,689 = 2,360,350,689/x
  3. Step 3: Cross multiply
    1,093,086,171x = 2,360,350,689 × 2,360,350,689
  4. Step 4: Simplify right side
    1,093,086,171x = 5,571,255,375,062,774,784
  5. Step 5: Solve for x
    x = 5,571,255,375,062,774,784/1,093,086,171
  6. Step 6: Final answer
    x = 5,096,812,605.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.