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Finding the Third Proportional to 324,317,455 and 699,653,164

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Solution

The third proportional to 324,317,455 and 699,653,164 is: 1,509,368,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,317,455 : 699,653,164 = 699,653,164 : x
  2. Step 2: Convert to fraction form
    324,317,455/699,653,164 = 699,653,164/x
  3. Step 3: Cross multiply
    324,317,455x = 699,653,164 × 699,653,164
  4. Step 4: Simplify right side
    324,317,455x = 489,514,549,895,210,880
  5. Step 5: Solve for x
    x = 489,514,549,895,210,880/324,317,455
  6. Step 6: Final answer
    x = 1,509,368,497.90

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