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Finding the Third Proportional to 317,678,178,285 and 680,677,319,664

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Solution

The third proportional to 317,678,178,285 and 680,677,319,664 is: 1,458,462,195,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,678,178,285 : 680,677,319,664 = 680,677,319,664 : x
  2. Step 2: Convert to fraction form
    317,678,178,285/680,677,319,664 = 680,677,319,664/x
  3. Step 3: Cross multiply
    317,678,178,285x = 680,677,319,664 × 680,677,319,664
  4. Step 4: Simplify right side
    317,678,178,285x = 463,321,613,504,967,239,270,400
  5. Step 5: Solve for x
    x = 463,321,613,504,967,239,270,400/317,678,178,285
  6. Step 6: Final answer
    x = 1,458,462,195,943.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.