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Finding the Third Proportional to 36,926,852 and 85,478,981

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Solution

The third proportional to 36,926,852 and 85,478,981 is: 197,868,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926,852 : 85,478,981 = 85,478,981 : x
  2. Step 2: Convert to fraction form
    36,926,852/85,478,981 = 85,478,981/x
  3. Step 3: Cross multiply
    36,926,852x = 85,478,981 × 85,478,981
  4. Step 4: Simplify right side
    36,926,852x = 7,306,656,192,798,361
  5. Step 5: Solve for x
    x = 7,306,656,192,798,361/36,926,852
  6. Step 6: Final answer
    x = 197,868,374.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.