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Finding the Third Proportional to 7,786,590.75 and 16,771,232.25

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Solution

The third proportional to 7,786,590.75 and 16,771,232.25 is: 36,122,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786,590.75 : 16,771,232.25 = 16,771,232.25 : x
  2. Step 2: Convert to fraction form
    7,786,590.75/16,771,232.25 = 16,771,232.25/x
  3. Step 3: Cross multiply
    7,786,590.75x = 16,771,232.25 × 16,771,232.25
  4. Step 4: Simplify right side
    7,786,590.75x = 281,274,231,183,440.06
  5. Step 5: Solve for x
    x = 281,274,231,183,440.06/7,786,590.75
  6. Step 6: Final answer
    x = 36,122,899.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.