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Finding the Third Proportional to 1,167,119,812 and 2,520,588,829

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Solution

The third proportional to 1,167,119,812 and 2,520,588,829 is: 5,443,629,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,119,812 : 2,520,588,829 = 2,520,588,829 : x
  2. Step 2: Convert to fraction form
    1,167,119,812/2,520,588,829 = 2,520,588,829/x
  3. Step 3: Cross multiply
    1,167,119,812x = 2,520,588,829 × 2,520,588,829
  4. Step 4: Simplify right side
    1,167,119,812x = 6,353,368,044,879,591,424
  5. Step 5: Solve for x
    x = 6,353,368,044,879,591,424/1,167,119,812
  6. Step 6: Final answer
    x = 5,443,629,676.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.