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Finding the Third Proportional to 4,112,863 and 6,567,814

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Solution

The third proportional to 4,112,863 and 6,567,814 is: 10,488,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112,863 : 6,567,814 = 6,567,814 : x
  2. Step 2: Convert to fraction form
    4,112,863/6,567,814 = 6,567,814/x
  3. Step 3: Cross multiply
    4,112,863x = 6,567,814 × 6,567,814
  4. Step 4: Simplify right side
    4,112,863x = 43,136,180,738,596
  5. Step 5: Solve for x
    x = 43,136,180,738,596/4,112,863
  6. Step 6: Final answer
    x = 10,488,115.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.