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Finding the Third Proportional to 271,705,536 and 596,788,360

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Solution

The third proportional to 271,705,536 and 596,788,360 is: 1,310,817,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,705,536 : 596,788,360 = 596,788,360 : x
  2. Step 2: Convert to fraction form
    271,705,536/596,788,360 = 596,788,360/x
  3. Step 3: Cross multiply
    271,705,536x = 596,788,360 × 596,788,360
  4. Step 4: Simplify right side
    271,705,536x = 356,156,346,631,489,600
  5. Step 5: Solve for x
    x = 356,156,346,631,489,600/271,705,536
  6. Step 6: Final answer
    x = 1,310,817,408.71

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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.