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Finding the Third Proportional to 2,862,697.50 and 6,173,766

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Solution

The third proportional to 2,862,697.50 and 6,173,766 is: 13,314,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862,697.50 : 6,173,766 = 6,173,766 : x
  2. Step 2: Convert to fraction form
    2,862,697.50/6,173,766 = 6,173,766/x
  3. Step 3: Cross multiply
    2,862,697.50x = 6,173,766 × 6,173,766
  4. Step 4: Simplify right side
    2,862,697.50x = 38,115,386,622,756
  5. Step 5: Solve for x
    x = 38,115,386,622,756/2,862,697.50
  6. Step 6: Final answer
    x = 13,314,500.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.