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Finding the Third Proportional to 7,589,932 and 16,391,735

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Solution

The third proportional to 7,589,932 and 16,391,735 is: 35,400,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,932 : 16,391,735 = 16,391,735 : x
  2. Step 2: Convert to fraction form
    7,589,932/16,391,735 = 16,391,735/x
  3. Step 3: Cross multiply
    7,589,932x = 16,391,735 × 16,391,735
  4. Step 4: Simplify right side
    7,589,932x = 268,688,976,310,225
  5. Step 5: Solve for x
    x = 268,688,976,310,225/7,589,932
  6. Step 6: Final answer
    x = 35,400,709.30

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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.