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Finding the Third Proportional to 211,392,120 and 464,354,736

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Solution

The third proportional to 211,392,120 and 464,354,736 is: 1,020,025,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,392,120 : 464,354,736 = 464,354,736 : x
  2. Step 2: Convert to fraction form
    211,392,120/464,354,736 = 464,354,736/x
  3. Step 3: Cross multiply
    211,392,120x = 464,354,736 × 464,354,736
  4. Step 4: Simplify right side
    211,392,120x = 215,625,320,845,629,696
  5. Step 5: Solve for x
    x = 215,625,320,845,629,696/211,392,120
  6. Step 6: Final answer
    x = 1,020,025,348.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.