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Finding the Third Proportional to 3,936,114 and 6,427,319.63

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Solution

The third proportional to 3,936,114 and 6,427,319.63 is: 10,495,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936,114 : 6,427,319.63 = 6,427,319.63 : x
  2. Step 2: Convert to fraction form
    3,936,114/6,427,319.63 = 6,427,319.63/x
  3. Step 3: Cross multiply
    3,936,114x = 6,427,319.63 × 6,427,319.63
  4. Step 4: Simplify right side
    3,936,114x = 41,310,437,561,910.14
  5. Step 5: Solve for x
    x = 41,310,437,561,910.14/3,936,114
  6. Step 6: Final answer
    x = 10,495,234.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.