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Finding the Third Proportional to 1,550,477,967 and 2,383,193,754

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Solution

The third proportional to 1,550,477,967 and 2,383,193,754 is: 3,663,136,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,477,967 : 2,383,193,754 = 2,383,193,754 : x
  2. Step 2: Convert to fraction form
    1,550,477,967/2,383,193,754 = 2,383,193,754/x
  3. Step 3: Cross multiply
    1,550,477,967x = 2,383,193,754 × 2,383,193,754
  4. Step 4: Simplify right side
    1,550,477,967x = 5,679,612,469,104,612,352
  5. Step 5: Solve for x
    x = 5,679,612,469,104,612,352/1,550,477,967
  6. Step 6: Final answer
    x = 3,663,136,523.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.