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Finding the Third Proportional to 8,124,613,822 and 11,226,370,608

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Solution

The third proportional to 8,124,613,822 and 11,226,370,608 is: 15,512,293,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,613,822 : 11,226,370,608 = 11,226,370,608 : x
  2. Step 2: Convert to fraction form
    8,124,613,822/11,226,370,608 = 11,226,370,608/x
  3. Step 3: Cross multiply
    8,124,613,822x = 11,226,370,608 × 11,226,370,608
  4. Step 4: Simplify right side
    8,124,613,822x = 126,031,397,028,166,287,360
  5. Step 5: Solve for x
    x = 126,031,397,028,166,287,360/8,124,613,822
  6. Step 6: Final answer
    x = 15,512,293,850.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.