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Finding the Third Proportional to 2,539,031,962 and 3,921,744,147

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Solution

The third proportional to 2,539,031,962 and 3,921,744,147 is: 6,057,457,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539,031,962 : 3,921,744,147 = 3,921,744,147 : x
  2. Step 2: Convert to fraction form
    2,539,031,962/3,921,744,147 = 3,921,744,147/x
  3. Step 3: Cross multiply
    2,539,031,962x = 3,921,744,147 × 3,921,744,147
  4. Step 4: Simplify right side
    2,539,031,962x = 15,380,077,154,528,757,760
  5. Step 5: Solve for x
    x = 15,380,077,154,528,757,760/2,539,031,962
  6. Step 6: Final answer
    x = 6,057,457,087.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.