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Finding the Third Proportional to 7,166,025 and 15,591,739.50

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Solution

The third proportional to 7,166,025 and 15,591,739.50 is: 33,924,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166,025 : 15,591,739.50 = 15,591,739.50 : x
  2. Step 2: Convert to fraction form
    7,166,025/15,591,739.50 = 15,591,739.50/x
  3. Step 3: Cross multiply
    7,166,025x = 15,591,739.50 × 15,591,739.50
  4. Step 4: Simplify right side
    7,166,025x = 243,102,340,635,860.25
  5. Step 5: Solve for x
    x = 243,102,340,635,860.25/7,166,025
  6. Step 6: Final answer
    x = 33,924,294.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.