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Finding the Third Proportional to 7,676,512 and 16,415,936

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Solution

The third proportional to 7,676,512 and 16,415,936 is: 35,104,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,512 : 16,415,936 = 16,415,936 : x
  2. Step 2: Convert to fraction form
    7,676,512/16,415,936 = 16,415,936/x
  3. Step 3: Cross multiply
    7,676,512x = 16,415,936 × 16,415,936
  4. Step 4: Simplify right side
    7,676,512x = 269,482,954,756,096
  5. Step 5: Solve for x
    x = 269,482,954,756,096/7,676,512
  6. Step 6: Final answer
    x = 35,104,869.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.