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Finding the Third Proportional to 5,766,502.50 and 12,684,096

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Solution

The third proportional to 5,766,502.50 and 12,684,096 is: 27,900,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766,502.50 : 12,684,096 = 12,684,096 : x
  2. Step 2: Convert to fraction form
    5,766,502.50/12,684,096 = 12,684,096/x
  3. Step 3: Cross multiply
    5,766,502.50x = 12,684,096 × 12,684,096
  4. Step 4: Simplify right side
    5,766,502.50x = 160,886,291,337,216
  5. Step 5: Solve for x
    x = 160,886,291,337,216/5,766,502.50
  6. Step 6: Final answer
    x = 27,900,151.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.