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Finding the Third Proportional to 540,339,968 and 1,274,271,744

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Solution

The third proportional to 540,339,968 and 1,274,271,744 is: 3,005,086,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,339,968 : 1,274,271,744 = 1,274,271,744 : x
  2. Step 2: Convert to fraction form
    540,339,968/1,274,271,744 = 1,274,271,744/x
  3. Step 3: Cross multiply
    540,339,968x = 1,274,271,744 × 1,274,271,744
  4. Step 4: Simplify right side
    540,339,968x = 1,623,768,477,556,801,536
  5. Step 5: Solve for x
    x = 1,623,768,477,556,801,536/540,339,968
  6. Step 6: Final answer
    x = 3,005,086,748.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.