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Finding the Third Proportional to 3,251,828.25 and 7,003,111.50

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Solution

The third proportional to 3,251,828.25 and 7,003,111.50 is: 15,081,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,828.25 : 7,003,111.50 = 7,003,111.50 : x
  2. Step 2: Convert to fraction form
    3,251,828.25/7,003,111.50 = 7,003,111.50/x
  3. Step 3: Cross multiply
    3,251,828.25x = 7,003,111.50 × 7,003,111.50
  4. Step 4: Simplify right side
    3,251,828.25x = 49,043,570,681,432.25
  5. Step 5: Solve for x
    x = 49,043,570,681,432.25/3,251,828.25
  6. Step 6: Final answer
    x = 15,081,845.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.