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Finding the Third Proportional to 914,317,642 and 2,003,313,296

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Solution

The third proportional to 914,317,642 and 2,003,313,296 is: 4,389,354,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,317,642 : 2,003,313,296 = 2,003,313,296 : x
  2. Step 2: Convert to fraction form
    914,317,642/2,003,313,296 = 2,003,313,296/x
  3. Step 3: Cross multiply
    914,317,642x = 2,003,313,296 × 2,003,313,296
  4. Step 4: Simplify right side
    914,317,642x = 4,013,264,161,930,383,360
  5. Step 5: Solve for x
    x = 4,013,264,161,930,383,360/914,317,642
  6. Step 6: Final answer
    x = 4,389,354,396.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.