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Finding the Third Proportional to 3,239,741.25 and 6,998,970.94

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Solution

The third proportional to 3,239,741.25 and 6,998,970.94 is: 15,120,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239,741.25 : 6,998,970.94 = 6,998,970.94 : x
  2. Step 2: Convert to fraction form
    3,239,741.25/6,998,970.94 = 6,998,970.94/x
  3. Step 3: Cross multiply
    3,239,741.25x = 6,998,970.94 × 6,998,970.94
  4. Step 4: Simplify right side
    3,239,741.25x = 48,985,594,183,969.62
  5. Step 5: Solve for x
    x = 48,985,594,183,969.62/3,239,741.25
  6. Step 6: Final answer
    x = 15,120,218.07

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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.