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Finding the Third Proportional to 10,680,778 and 16,548,916

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Solution

The third proportional to 10,680,778 and 16,548,916 is: 25,641,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680,778 : 16,548,916 = 16,548,916 : x
  2. Step 2: Convert to fraction form
    10,680,778/16,548,916 = 16,548,916/x
  3. Step 3: Cross multiply
    10,680,778x = 16,548,916 × 16,548,916
  4. Step 4: Simplify right side
    10,680,778x = 273,866,620,775,056
  5. Step 5: Solve for x
    x = 273,866,620,775,056/10,680,778
  6. Step 6: Final answer
    x = 25,641,074.16

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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.