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Finding the Third Proportional to 36,926,853 and 85,478,980

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Solution

The third proportional to 36,926,853 and 85,478,980 is: 197,868,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926,853 : 85,478,980 = 85,478,980 : x
  2. Step 2: Convert to fraction form
    36,926,853/85,478,980 = 85,478,980/x
  3. Step 3: Cross multiply
    36,926,853x = 85,478,980 × 85,478,980
  4. Step 4: Simplify right side
    36,926,853x = 7,306,656,021,840,400
  5. Step 5: Solve for x
    x = 7,306,656,021,840,400/36,926,853
  6. Step 6: Final answer
    x = 197,868,364.84

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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.