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Finding the Third Proportional to 72,633,520 and 156,741,314

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Solution

The third proportional to 72,633,520 and 156,741,314 is: 338,243,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,633,520 : 156,741,314 = 156,741,314 : x
  2. Step 2: Convert to fraction form
    72,633,520/156,741,314 = 156,741,314/x
  3. Step 3: Cross multiply
    72,633,520x = 156,741,314 × 156,741,314
  4. Step 4: Simplify right side
    72,633,520x = 24,567,839,514,446,596
  5. Step 5: Solve for x
    x = 24,567,839,514,446,596/72,633,520
  6. Step 6: Final answer
    x = 338,243,823.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.