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Finding the Third Proportional to 36,926,856 and 85,478,985

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Solution

The third proportional to 36,926,856 and 85,478,985 is: 197,868,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926,856 : 85,478,985 = 85,478,985 : x
  2. Step 2: Convert to fraction form
    36,926,856/85,478,985 = 85,478,985/x
  3. Step 3: Cross multiply
    36,926,856x = 85,478,985 × 85,478,985
  4. Step 4: Simplify right side
    36,926,856x = 7,306,656,876,630,225
  5. Step 5: Solve for x
    x = 7,306,656,876,630,225/36,926,856
  6. Step 6: Final answer
    x = 197,868,371.91

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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.