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Finding the Third Proportional to 6,121,503 and 9,150,268.50

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Solution

The third proportional to 6,121,503 and 9,150,268.50 is: 13,677,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,503 : 9,150,268.50 = 9,150,268.50 : x
  2. Step 2: Convert to fraction form
    6,121,503/9,150,268.50 = 9,150,268.50/x
  3. Step 3: Cross multiply
    6,121,503x = 9,150,268.50 × 9,150,268.50
  4. Step 4: Simplify right side
    6,121,503x = 83,727,413,622,092.25
  5. Step 5: Solve for x
    x = 83,727,413,622,092.25/6,121,503
  6. Step 6: Final answer
    x = 13,677,590.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.