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Finding the Third Proportional to 5,186,542.50 and 7,611,657.75

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Solution

The third proportional to 5,186,542.50 and 7,611,657.75 is: 11,170,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,542.50 : 7,611,657.75 = 7,611,657.75 : x
  2. Step 2: Convert to fraction form
    5,186,542.50/7,611,657.75 = 7,611,657.75/x
  3. Step 3: Cross multiply
    5,186,542.50x = 7,611,657.75 × 7,611,657.75
  4. Step 4: Simplify right side
    5,186,542.50x = 57,937,333,703,135.06
  5. Step 5: Solve for x
    x = 57,937,333,703,135.06/5,186,542.50
  6. Step 6: Final answer
    x = 11,170,704.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.