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Finding the Third Proportional to 113,350,353,172 and 262,413,015,538

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Solution

The third proportional to 113,350,353,172 and 262,413,015,538 is: 607,502,215,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,350,353,172 : 262,413,015,538 = 262,413,015,538 : x
  2. Step 2: Convert to fraction form
    113,350,353,172/262,413,015,538 = 262,413,015,538/x
  3. Step 3: Cross multiply
    113,350,353,172x = 262,413,015,538 × 262,413,015,538
  4. Step 4: Simplify right side
    113,350,353,172x = 68,860,590,723,746,626,535,424
  5. Step 5: Solve for x
    x = 68,860,590,723,746,626,535,424/113,350,353,172
  6. Step 6: Final answer
    x = 607,502,215,888.61

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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.