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Finding the Third Proportional to 8,086,000 and 17,536,312

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Solution

The third proportional to 8,086,000 and 17,536,312 is: 38,031,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086,000 : 17,536,312 = 17,536,312 : x
  2. Step 2: Convert to fraction form
    8,086,000/17,536,312 = 17,536,312/x
  3. Step 3: Cross multiply
    8,086,000x = 17,536,312 × 17,536,312
  4. Step 4: Simplify right side
    8,086,000x = 307,522,238,561,344
  5. Step 5: Solve for x
    x = 307,522,238,561,344/8,086,000
  6. Step 6: Final answer
    x = 38,031,441.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.