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Finding the Third Proportional to 316,298,606,126 and 481,848,245,924.25

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Solution

The third proportional to 316,298,606,126 and 481,848,245,924.25 is: 734,046,017,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,298,606,126 : 481,848,245,924.25 = 481,848,245,924.25 : x
  2. Step 2: Convert to fraction form
    316,298,606,126/481,848,245,924.25 = 481,848,245,924.25/x
  3. Step 3: Cross multiply
    316,298,606,126x = 481,848,245,924.25 × 481,848,245,924.25
  4. Step 4: Simplify right side
    316,298,606,126x = 232,177,732,100,276,501,872,640
  5. Step 5: Solve for x
    x = 232,177,732,100,276,501,872,640/316,298,606,126
  6. Step 6: Final answer
    x = 734,046,017,287.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.