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Finding the Third Proportional to 692,936,058 and 1,443,190,107

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Solution

The third proportional to 692,936,058 and 1,443,190,107 is: 3,005,757,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,936,058 : 1,443,190,107 = 1,443,190,107 : x
  2. Step 2: Convert to fraction form
    692,936,058/1,443,190,107 = 1,443,190,107/x
  3. Step 3: Cross multiply
    692,936,058x = 1,443,190,107 × 1,443,190,107
  4. Step 4: Simplify right side
    692,936,058x = 2,082,797,684,942,671,360
  5. Step 5: Solve for x
    x = 2,082,797,684,942,671,360/692,936,058
  6. Step 6: Final answer
    x = 3,005,757,401.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.