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Finding the Third Proportional to 31,194,134.02 and 48,492,313.03

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Solution

The third proportional to 31,194,134.02 and 48,492,313.03 is: 75,382,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194,134.02 : 48,492,313.03 = 48,492,313.03 : x
  2. Step 2: Convert to fraction form
    31,194,134.02/48,492,313.03 = 48,492,313.03/x
  3. Step 3: Cross multiply
    31,194,134.02x = 48,492,313.03 × 48,492,313.03
  4. Step 4: Simplify right side
    31,194,134.02x = 2,351,504,423,120,738.50
  5. Step 5: Solve for x
    x = 2,351,504,423,120,738.50/31,194,134.02
  6. Step 6: Final answer
    x = 75,382,904.43

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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.