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Finding the Third Proportional to 14,416,516.50 and 31,571,429.81

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Solution

The third proportional to 14,416,516.50 and 31,571,429.81 is: 69,139,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416,516.50 : 31,571,429.81 = 31,571,429.81 : x
  2. Step 2: Convert to fraction form
    14,416,516.50/31,571,429.81 = 31,571,429.81/x
  3. Step 3: Cross multiply
    14,416,516.50x = 31,571,429.81 × 31,571,429.81
  4. Step 4: Simplify right side
    14,416,516.50x = 996,755,180,405,613.75
  5. Step 5: Solve for x
    x = 996,755,180,405,613.75/14,416,516.50
  6. Step 6: Final answer
    x = 69,139,807.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.