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Finding the Third Proportional to 31,514,786 and 47,272,172

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Solution

The third proportional to 31,514,786 and 47,272,172 is: 70,908,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514,786 : 47,272,172 = 47,272,172 : x
  2. Step 2: Convert to fraction form
    31,514,786/47,272,172 = 47,272,172/x
  3. Step 3: Cross multiply
    31,514,786x = 47,272,172 × 47,272,172
  4. Step 4: Simplify right side
    31,514,786x = 2,234,658,245,597,584
  5. Step 5: Solve for x
    x = 2,234,658,245,597,584/31,514,786
  6. Step 6: Final answer
    x = 70,908,247.50

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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.