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Finding the Third Proportional to 2,563,277 and 6,050,861

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Solution

The third proportional to 2,563,277 and 6,050,861 is: 14,283,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,277 : 6,050,861 = 6,050,861 : x
  2. Step 2: Convert to fraction form
    2,563,277/6,050,861 = 6,050,861/x
  3. Step 3: Cross multiply
    2,563,277x = 6,050,861 × 6,050,861
  4. Step 4: Simplify right side
    2,563,277x = 36,612,918,841,321
  5. Step 5: Solve for x
    x = 36,612,918,841,321/2,563,277
  6. Step 6: Final answer
    x = 14,283,637.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.