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Finding the Third Proportional to 322,222,078 and 695,787,284

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Solution

The third proportional to 322,222,078 and 695,787,284 is: 1,502,441,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,222,078 : 695,787,284 = 695,787,284 : x
  2. Step 2: Convert to fraction form
    322,222,078/695,787,284 = 695,787,284/x
  3. Step 3: Cross multiply
    322,222,078x = 695,787,284 × 695,787,284
  4. Step 4: Simplify right side
    322,222,078x = 484,119,944,576,096,640
  5. Step 5: Solve for x
    x = 484,119,944,576,096,640/322,222,078
  6. Step 6: Final answer
    x = 1,502,441,879.78

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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.