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Finding the Third Proportional to 7,688,686 and 16,912,156

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Solution

The third proportional to 7,688,686 and 16,912,156 is: 37,200,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688,686 : 16,912,156 = 16,912,156 : x
  2. Step 2: Convert to fraction form
    7,688,686/16,912,156 = 16,912,156/x
  3. Step 3: Cross multiply
    7,688,686x = 16,912,156 × 16,912,156
  4. Step 4: Simplify right side
    7,688,686x = 286,021,020,568,336
  5. Step 5: Solve for x
    x = 286,021,020,568,336/7,688,686
  6. Step 6: Final answer
    x = 37,200,247.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.