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Finding the Third Proportional to 1,167,119,809.50 and 2,520,588,825

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Solution

The third proportional to 1,167,119,809.50 and 2,520,588,825 is: 5,443,629,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,119,809.50 : 2,520,588,825 = 2,520,588,825 : x
  2. Step 2: Convert to fraction form
    1,167,119,809.50/2,520,588,825 = 2,520,588,825/x
  3. Step 3: Cross multiply
    1,167,119,809.50x = 2,520,588,825 × 2,520,588,825
  4. Step 4: Simplify right side
    1,167,119,809.50x = 6,353,368,024,714,881,024
  5. Step 5: Solve for x
    x = 6,353,368,024,714,881,024/1,167,119,809.50
  6. Step 6: Final answer
    x = 5,443,629,671.09

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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.