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Finding the Third Proportional to 844,167,324 and 1,860,077,814

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Solution

The third proportional to 844,167,324 and 1,860,077,814 is: 4,098,582,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,167,324 : 1,860,077,814 = 1,860,077,814 : x
  2. Step 2: Convert to fraction form
    844,167,324/1,860,077,814 = 1,860,077,814/x
  3. Step 3: Cross multiply
    844,167,324x = 1,860,077,814 × 1,860,077,814
  4. Step 4: Simplify right side
    844,167,324x = 3,459,889,474,135,018,496
  5. Step 5: Solve for x
    x = 3,459,889,474,135,018,496/844,167,324
  6. Step 6: Final answer
    x = 4,098,582,562.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.