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Finding the Third Proportional to 3,659,416.50 and 7,730,809.50

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Solution

The third proportional to 3,659,416.50 and 7,730,809.50 is: 16,331,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659,416.50 : 7,730,809.50 = 7,730,809.50 : x
  2. Step 2: Convert to fraction form
    3,659,416.50/7,730,809.50 = 7,730,809.50/x
  3. Step 3: Cross multiply
    3,659,416.50x = 7,730,809.50 × 7,730,809.50
  4. Step 4: Simplify right side
    3,659,416.50x = 59,765,415,525,290.25
  5. Step 5: Solve for x
    x = 59,765,415,525,290.25/3,659,416.50
  6. Step 6: Final answer
    x = 16,331,952.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.