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Finding the Third Proportional to 324,317,454 and 699,653,163

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Solution

The third proportional to 324,317,454 and 699,653,163 is: 1,509,368,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,317,454 : 699,653,163 = 699,653,163 : x
  2. Step 2: Convert to fraction form
    324,317,454/699,653,163 = 699,653,163/x
  3. Step 3: Cross multiply
    324,317,454x = 699,653,163 × 699,653,163
  4. Step 4: Simplify right side
    324,317,454x = 489,514,548,495,904,576
  5. Step 5: Solve for x
    x = 489,514,548,495,904,576/324,317,454
  6. Step 6: Final answer
    x = 1,509,368,498.24

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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.