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Finding the Third Proportional to 219,537,633 and 479,305,042

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Solution

The third proportional to 219,537,633 and 479,305,042 is: 1,046,441,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,537,633 : 479,305,042 = 479,305,042 : x
  2. Step 2: Convert to fraction form
    219,537,633/479,305,042 = 479,305,042/x
  3. Step 3: Cross multiply
    219,537,633x = 479,305,042 × 479,305,042
  4. Step 4: Simplify right side
    219,537,633x = 229,733,323,286,621,760
  5. Step 5: Solve for x
    x = 229,733,323,286,621,760/219,537,633
  6. Step 6: Final answer
    x = 1,046,441,651.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.