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Finding the Third Proportional to 31,642,553.81 and 47,548,080.84

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Solution

The third proportional to 31,642,553.81 and 47,548,080.84 is: 71,448,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642,553.81 : 47,548,080.84 = 47,548,080.84 : x
  2. Step 2: Convert to fraction form
    31,642,553.81/47,548,080.84 = 47,548,080.84/x
  3. Step 3: Cross multiply
    31,642,553.81x = 47,548,080.84 × 47,548,080.84
  4. Step 4: Simplify right side
    31,642,553.81x = 2,260,819,991,923,785.50
  5. Step 5: Solve for x
    x = 2,260,819,991,923,785.50/31,642,553.81
  6. Step 6: Final answer
    x = 71,448,720.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.