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Finding the Third Proportional to 5,709,229.50 and 13,321,985.25

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Solution

The third proportional to 5,709,229.50 and 13,321,985.25 is: 31,085,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,229.50 : 13,321,985.25 = 13,321,985.25 : x
  2. Step 2: Convert to fraction form
    5,709,229.50/13,321,985.25 = 13,321,985.25/x
  3. Step 3: Cross multiply
    5,709,229.50x = 13,321,985.25 × 13,321,985.25
  4. Step 4: Simplify right side
    5,709,229.50x = 177,475,291,001,217.56
  5. Step 5: Solve for x
    x = 177,475,291,001,217.56/5,709,229.50
  6. Step 6: Final answer
    x = 31,085,681.70

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.