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Finding the Third Proportional to 7,676,591.50 and 16,416,064.75

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Solution

The third proportional to 7,676,591.50 and 16,416,064.75 is: 35,105,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,591.50 : 16,416,064.75 = 16,416,064.75 : x
  2. Step 2: Convert to fraction form
    7,676,591.50/16,416,064.75 = 16,416,064.75/x
  3. Step 3: Cross multiply
    7,676,591.50x = 16,416,064.75 × 16,416,064.75
  4. Step 4: Simplify right side
    7,676,591.50x = 269,487,181,876,192.56
  5. Step 5: Solve for x
    x = 269,487,181,876,192.56/7,676,591.50
  6. Step 6: Final answer
    x = 35,105,056.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.