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Finding the Third Proportional to 513,108,004 and 1,120,302,936

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Solution

The third proportional to 513,108,004 and 1,120,302,936 is: 2,446,032,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,108,004 : 1,120,302,936 = 1,120,302,936 : x
  2. Step 2: Convert to fraction form
    513,108,004/1,120,302,936 = 1,120,302,936/x
  3. Step 3: Cross multiply
    513,108,004x = 1,120,302,936 × 1,120,302,936
  4. Step 4: Simplify right side
    513,108,004x = 1,255,078,668,410,220,032
  5. Step 5: Solve for x
    x = 1,255,078,668,410,220,032/513,108,004
  6. Step 6: Final answer
    x = 2,446,032,138.70

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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.