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Finding the Third Proportional to 258,272,902,858 and 363,546,673,440

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Solution

The third proportional to 258,272,902,858 and 363,546,673,440 is: 511,730,740,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,272,902,858 : 363,546,673,440 = 363,546,673,440 : x
  2. Step 2: Convert to fraction form
    258,272,902,858/363,546,673,440 = 363,546,673,440/x
  3. Step 3: Cross multiply
    258,272,902,858x = 363,546,673,440 × 363,546,673,440
  4. Step 4: Simplify right side
    258,272,902,858x = 132,166,183,769,290,009,739,264
  5. Step 5: Solve for x
    x = 132,166,183,769,290,009,739,264/258,272,902,858
  6. Step 6: Final answer
    x = 511,730,740,262.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.