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Finding the Third Proportional to 8,124,613,824 and 11,226,370,611

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Solution

The third proportional to 8,124,613,824 and 11,226,370,611 is: 15,512,293,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,613,824 : 11,226,370,611 = 11,226,370,611 : x
  2. Step 2: Convert to fraction form
    8,124,613,824/11,226,370,611 = 11,226,370,611/x
  3. Step 3: Cross multiply
    8,124,613,824x = 11,226,370,611 × 11,226,370,611
  4. Step 4: Simplify right side
    8,124,613,824x = 126,031,397,095,524,515,840
  5. Step 5: Solve for x
    x = 126,031,397,095,524,515,840/8,124,613,824
  6. Step 6: Final answer
    x = 15,512,293,854.91

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1.5x scale

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.