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Finding the Third Proportional to 472,509,356 and 680,668,162

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Solution

The third proportional to 472,509,356 and 680,668,162 is: 980,529,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,509,356 : 680,668,162 = 680,668,162 : x
  2. Step 2: Convert to fraction form
    472,509,356/680,668,162 = 680,668,162/x
  3. Step 3: Cross multiply
    472,509,356x = 680,668,162 × 680,668,162
  4. Step 4: Simplify right side
    472,509,356x = 463,309,146,760,458,240
  5. Step 5: Solve for x
    x = 463,309,146,760,458,240/472,509,356
  6. Step 6: Final answer
    x = 980,529,043.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.