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Finding the Third Proportional to 10,676,745 and 16,546,005

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Solution

The third proportional to 10,676,745 and 16,546,005 is: 25,641,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,745 : 16,546,005 = 16,546,005 : x
  2. Step 2: Convert to fraction form
    10,676,745/16,546,005 = 16,546,005/x
  3. Step 3: Cross multiply
    10,676,745x = 16,546,005 × 16,546,005
  4. Step 4: Simplify right side
    10,676,745x = 273,770,281,460,025
  5. Step 5: Solve for x
    x = 273,770,281,460,025/10,676,745
  6. Step 6: Final answer
    x = 25,641,736.45

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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.