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Finding the Third Proportional to 113,350,353,170 and 262,413,015,533

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Solution

The third proportional to 113,350,353,170 and 262,413,015,533 is: 607,502,215,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,350,353,170 : 262,413,015,533 = 262,413,015,533 : x
  2. Step 2: Convert to fraction form
    113,350,353,170/262,413,015,533 = 262,413,015,533/x
  3. Step 3: Cross multiply
    113,350,353,170x = 262,413,015,533 × 262,413,015,533
  4. Step 4: Simplify right side
    113,350,353,170x = 68,860,590,721,122,502,180,864
  5. Step 5: Solve for x
    x = 68,860,590,721,122,502,180,864/113,350,353,170
  6. Step 6: Final answer
    x = 607,502,215,876.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.