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Finding the Third Proportional to 6,107,936 and 9,448,869

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Solution

The third proportional to 6,107,936 and 9,448,869 is: 14,617,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107,936 : 9,448,869 = 9,448,869 : x
  2. Step 2: Convert to fraction form
    6,107,936/9,448,869 = 9,448,869/x
  3. Step 3: Cross multiply
    6,107,936x = 9,448,869 × 9,448,869
  4. Step 4: Simplify right side
    6,107,936x = 89,281,125,379,161
  5. Step 5: Solve for x
    x = 89,281,125,379,161/6,107,936
  6. Step 6: Final answer
    x = 14,617,233.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.