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Finding the Third Proportional to 1,093,086,163 and 2,360,350,671

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Solution

The third proportional to 1,093,086,163 and 2,360,350,671 is: 5,096,812,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,086,163 : 2,360,350,671 = 2,360,350,671 : x
  2. Step 2: Convert to fraction form
    1,093,086,163/2,360,350,671 = 2,360,350,671/x
  3. Step 3: Cross multiply
    1,093,086,163x = 2,360,350,671 × 2,360,350,671
  4. Step 4: Simplify right side
    1,093,086,163x = 5,571,255,290,090,149,888
  5. Step 5: Solve for x
    x = 5,571,255,290,090,149,888/1,093,086,163
  6. Step 6: Final answer
    x = 5,096,812,564.89

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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.