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Finding the Third Proportional to 31,843,846.13 and 47,715,763.50

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Solution

The third proportional to 31,843,846.13 and 47,715,763.50 is: 71,498,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843,846.13 : 47,715,763.50 = 47,715,763.50 : x
  2. Step 2: Convert to fraction form
    31,843,846.13/47,715,763.50 = 47,715,763.50/x
  3. Step 3: Cross multiply
    31,843,846.13x = 47,715,763.50 × 47,715,763.50
  4. Step 4: Simplify right side
    31,843,846.13x = 2,276,794,086,387,932
  5. Step 5: Solve for x
    x = 2,276,794,086,387,932/31,843,846.13
  6. Step 6: Final answer
    x = 71,498,715.24

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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.