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Finding the Third Proportional to 1,167,119,806.50 and 2,520,588,819

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Solution

The third proportional to 1,167,119,806.50 and 2,520,588,819 is: 5,443,629,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,119,806.50 : 2,520,588,819 = 2,520,588,819 : x
  2. Step 2: Convert to fraction form
    1,167,119,806.50/2,520,588,819 = 2,520,588,819/x
  3. Step 3: Cross multiply
    1,167,119,806.50x = 2,520,588,819 × 2,520,588,819
  4. Step 4: Simplify right side
    1,167,119,806.50x = 6,353,367,994,467,814,400
  5. Step 5: Solve for x
    x = 6,353,367,994,467,814,400/1,167,119,806.50
  6. Step 6: Final answer
    x = 5,443,629,659.17

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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.