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Finding the Third Proportional to 7,970,910 and 12,689,441

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Solution

The third proportional to 7,970,910 and 12,689,441 is: 20,201,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,910 : 12,689,441 = 12,689,441 : x
  2. Step 2: Convert to fraction form
    7,970,910/12,689,441 = 12,689,441/x
  3. Step 3: Cross multiply
    7,970,910x = 12,689,441 × 12,689,441
  4. Step 4: Simplify right side
    7,970,910x = 161,021,912,892,481
  5. Step 5: Solve for x
    x = 161,021,912,892,481/7,970,910
  6. Step 6: Final answer
    x = 20,201,195.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.