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Finding the Third Proportional to 5,695,096.50 and 12,285,202.50

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Solution

The third proportional to 5,695,096.50 and 12,285,202.50 is: 26,501,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695,096.50 : 12,285,202.50 = 12,285,202.50 : x
  2. Step 2: Convert to fraction form
    5,695,096.50/12,285,202.50 = 12,285,202.50/x
  3. Step 3: Cross multiply
    5,695,096.50x = 12,285,202.50 × 12,285,202.50
  4. Step 4: Simplify right side
    5,695,096.50x = 150,926,200,466,006.25
  5. Step 5: Solve for x
    x = 150,926,200,466,006.25/5,695,096.50
  6. Step 6: Final answer
    x = 26,501,078.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.