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Finding the Third Proportional to 2,537,511 and 5,495,715

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Solution

The third proportional to 2,537,511 and 5,495,715 is: 11,902,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,511 : 5,495,715 = 5,495,715 : x
  2. Step 2: Convert to fraction form
    2,537,511/5,495,715 = 5,495,715/x
  3. Step 3: Cross multiply
    2,537,511x = 5,495,715 × 5,495,715
  4. Step 4: Simplify right side
    2,537,511x = 30,202,883,361,225
  5. Step 5: Solve for x
    x = 30,202,883,361,225/2,537,511
  6. Step 6: Final answer
    x = 11,902,562.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.