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Finding the Third Proportional to 32,409,367.50 and 50,166,739

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Solution

The third proportional to 32,409,367.50 and 50,166,739 is: 77,653,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409,367.50 : 50,166,739 = 50,166,739 : x
  2. Step 2: Convert to fraction form
    32,409,367.50/50,166,739 = 50,166,739/x
  3. Step 3: Cross multiply
    32,409,367.50x = 50,166,739 × 50,166,739
  4. Step 4: Simplify right side
    32,409,367.50x = 2,516,701,701,894,121
  5. Step 5: Solve for x
    x = 2,516,701,701,894,121/32,409,367.50
  6. Step 6: Final answer
    x = 77,653,527.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.