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Finding the Third Proportional to 3,658,969,407 and 4,936,808,769

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Solution

The third proportional to 3,658,969,407 and 4,936,808,769 is: 6,660,914,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658,969,407 : 4,936,808,769 = 4,936,808,769 : x
  2. Step 2: Convert to fraction form
    3,658,969,407/4,936,808,769 = 4,936,808,769/x
  3. Step 3: Cross multiply
    3,658,969,407x = 4,936,808,769 × 4,936,808,769
  4. Step 4: Simplify right side
    3,658,969,407x = 24,372,080,821,675,294,720
  5. Step 5: Solve for x
    x = 24,372,080,821,675,294,720/3,658,969,407
  6. Step 6: Final answer
    x = 6,660,914,074.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.