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Finding the Third Proportional to 35,303,845.50 and 82,440,501.75

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Solution

The third proportional to 35,303,845.50 and 82,440,501.75 is: 192,512,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,303,845.50 : 82,440,501.75 = 82,440,501.75 : x
  2. Step 2: Convert to fraction form
    35,303,845.50/82,440,501.75 = 82,440,501.75/x
  3. Step 3: Cross multiply
    35,303,845.50x = 82,440,501.75 × 82,440,501.75
  4. Step 4: Simplify right side
    35,303,845.50x = 6,796,436,328,791,753
  5. Step 5: Solve for x
    x = 6,796,436,328,791,753/35,303,845.50
  6. Step 6: Final answer
    x = 192,512,635.17

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.