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Finding the Third Proportional to 271,894,125 and 415,643,490

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Solution

The third proportional to 271,894,125 and 415,643,490 is: 635,392,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894,125 : 415,643,490 = 415,643,490 : x
  2. Step 2: Convert to fraction form
    271,894,125/415,643,490 = 415,643,490/x
  3. Step 3: Cross multiply
    271,894,125x = 415,643,490 × 415,643,490
  4. Step 4: Simplify right side
    271,894,125x = 172,759,510,779,380,096
  5. Step 5: Solve for x
    x = 172,759,510,779,380,096/271,894,125
  6. Step 6: Final answer
    x = 635,392,584.45

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