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Finding the Third Proportional to 1,644,199,814 and 2,375,584,796

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Solution

The third proportional to 1,644,199,814 and 2,375,584,796 is: 3,432,309,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,199,814 : 2,375,584,796 = 2,375,584,796 : x
  2. Step 2: Convert to fraction form
    1,644,199,814/2,375,584,796 = 2,375,584,796/x
  3. Step 3: Cross multiply
    1,644,199,814x = 2,375,584,796 × 2,375,584,796
  4. Step 4: Simplify right side
    1,644,199,814x = 5,643,403,122,986,361,856
  5. Step 5: Solve for x
    x = 5,643,403,122,986,361,856/1,644,199,814
  6. Step 6: Final answer
    x = 3,432,309,792.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.