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Finding the Third Proportional to 10,835,751,606 and 16,577,486,727

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Solution

The third proportional to 10,835,751,606 and 16,577,486,727 is: 25,361,698,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835,751,606 : 16,577,486,727 = 16,577,486,727 : x
  2. Step 2: Convert to fraction form
    10,835,751,606/16,577,486,727 = 16,577,486,727/x
  3. Step 3: Cross multiply
    10,835,751,606x = 16,577,486,727 × 16,577,486,727
  4. Step 4: Simplify right side
    10,835,751,606x = 274,813,066,183,861,174,272
  5. Step 5: Solve for x
    x = 274,813,066,183,861,174,272/10,835,751,606
  6. Step 6: Final answer
    x = 25,361,698,585.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.