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Finding the Third Proportional to 36,927,081 and 85,479,583.50

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Solution

The third proportional to 36,927,081 and 85,479,583.50 is: 197,869,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,927,081 : 85,479,583.50 = 85,479,583.50 : x
  2. Step 2: Convert to fraction form
    36,927,081/85,479,583.50 = 85,479,583.50/x
  3. Step 3: Cross multiply
    36,927,081x = 85,479,583.50 × 85,479,583.50
  4. Step 4: Simplify right side
    36,927,081x = 7,306,759,195,333,472
  5. Step 5: Solve for x
    x = 7,306,759,195,333,472/36,927,081
  6. Step 6: Final answer
    x = 197,869,937.12

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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.