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Finding the Third Proportional to 3,205,681.50 and 6,542,166

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Solution

The third proportional to 3,205,681.50 and 6,542,166 is: 13,351,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,681.50 : 6,542,166 = 6,542,166 : x
  2. Step 2: Convert to fraction form
    3,205,681.50/6,542,166 = 6,542,166/x
  3. Step 3: Cross multiply
    3,205,681.50x = 6,542,166 × 6,542,166
  4. Step 4: Simplify right side
    3,205,681.50x = 42,799,935,971,556
  5. Step 5: Solve for x
    x = 42,799,935,971,556/3,205,681.50
  6. Step 6: Final answer
    x = 13,351,275.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.