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Finding the Third Proportional to 3,212,609.25 and 6,985,081.50

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Solution

The third proportional to 3,212,609.25 and 6,985,081.50 is: 15,187,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,609.25 : 6,985,081.50 = 6,985,081.50 : x
  2. Step 2: Convert to fraction form
    3,212,609.25/6,985,081.50 = 6,985,081.50/x
  3. Step 3: Cross multiply
    3,212,609.25x = 6,985,081.50 × 6,985,081.50
  4. Step 4: Simplify right side
    3,212,609.25x = 48,791,363,561,642.25
  5. Step 5: Solve for x
    x = 48,791,363,561,642.25/3,212,609.25
  6. Step 6: Final answer
    x = 15,187,456.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.