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Finding the Third Proportional to 14,535,996.75 and 31,937,601.38

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Solution

The third proportional to 14,535,996.75 and 31,937,601.38 is: 70,171,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535,996.75 : 31,937,601.38 = 31,937,601.38 : x
  2. Step 2: Convert to fraction form
    14,535,996.75/31,937,601.38 = 31,937,601.38/x
  3. Step 3: Cross multiply
    14,535,996.75x = 31,937,601.38 × 31,937,601.38
  4. Step 4: Simplify right side
    14,535,996.75x = 1,020,010,381,588,401.88
  5. Step 5: Solve for x
    x = 1,020,010,381,588,401.88/14,535,996.75
  6. Step 6: Final answer
    x = 70,171,340.78

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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.