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Finding the Third Proportional to 5,722,251.50 and 8,020,908.75

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Solution

The third proportional to 5,722,251.50 and 8,020,908.75 is: 11,242,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722,251.50 : 8,020,908.75 = 8,020,908.75 : x
  2. Step 2: Convert to fraction form
    5,722,251.50/8,020,908.75 = 8,020,908.75/x
  3. Step 3: Cross multiply
    5,722,251.50x = 8,020,908.75 × 8,020,908.75
  4. Step 4: Simplify right side
    5,722,251.50x = 64,334,977,175,826.56
  5. Step 5: Solve for x
    x = 64,334,977,175,826.56/5,722,251.50
  6. Step 6: Final answer
    x = 11,242,948.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.