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Finding the Third Proportional to 271,894,144 and 415,643,516

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Solution

The third proportional to 271,894,144 and 415,643,516 is: 635,392,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894,144 : 415,643,516 = 415,643,516 : x
  2. Step 2: Convert to fraction form
    271,894,144/415,643,516 = 415,643,516/x
  3. Step 3: Cross multiply
    271,894,144x = 415,643,516 × 415,643,516
  4. Step 4: Simplify right side
    271,894,144x = 172,759,532,392,842,240
  5. Step 5: Solve for x
    x = 172,759,532,392,842,240/271,894,144
  6. Step 6: Final answer
    x = 635,392,619.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.