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Finding the Third Proportional to 271,495,401 and 575,567,787

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Solution

The third proportional to 271,495,401 and 575,567,787 is: 1,220,198,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,495,401 : 575,567,787 = 575,567,787 : x
  2. Step 2: Convert to fraction form
    271,495,401/575,567,787 = 575,567,787/x
  3. Step 3: Cross multiply
    271,495,401x = 575,567,787 × 575,567,787
  4. Step 4: Simplify right side
    271,495,401x = 331,278,277,432,077,376
  5. Step 5: Solve for x
    x = 331,278,277,432,077,376/271,495,401
  6. Step 6: Final answer
    x = 1,220,198,486.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.