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Finding the Third Proportional to 2,985,827.25 and 6,530,512.50

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Solution

The third proportional to 2,985,827.25 and 6,530,512.50 is: 14,283,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985,827.25 : 6,530,512.50 = 6,530,512.50 : x
  2. Step 2: Convert to fraction form
    2,985,827.25/6,530,512.50 = 6,530,512.50/x
  3. Step 3: Cross multiply
    2,985,827.25x = 6,530,512.50 × 6,530,512.50
  4. Step 4: Simplify right side
    2,985,827.25x = 42,647,593,512,656.25
  5. Step 5: Solve for x
    x = 42,647,593,512,656.25/2,985,827.25
  6. Step 6: Final answer
    x = 14,283,342.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.