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Finding the Third Proportional to 513,107,949 and 1,120,302,825

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Solution

The third proportional to 513,107,949 and 1,120,302,825 is: 2,446,031,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,107,949 : 1,120,302,825 = 1,120,302,825 : x
  2. Step 2: Convert to fraction form
    513,107,949/1,120,302,825 = 1,120,302,825/x
  3. Step 3: Cross multiply
    513,107,949x = 1,120,302,825 × 1,120,302,825
  4. Step 4: Simplify right side
    513,107,949x = 1,255,078,419,702,980,608
  5. Step 5: Solve for x
    x = 1,255,078,419,702,980,608/513,107,949
  6. Step 6: Final answer
    x = 2,446,031,916.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.