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Finding the Third Proportional to 36,653,533.50 and 53,782,086

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Solution

The third proportional to 36,653,533.50 and 53,782,086 is: 78,914,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,653,533.50 : 53,782,086 = 53,782,086 : x
  2. Step 2: Convert to fraction form
    36,653,533.50/53,782,086 = 53,782,086/x
  3. Step 3: Cross multiply
    36,653,533.50x = 53,782,086 × 53,782,086
  4. Step 4: Simplify right side
    36,653,533.50x = 2,892,512,774,511,396
  5. Step 5: Solve for x
    x = 2,892,512,774,511,396/36,653,533.50
  6. Step 6: Final answer
    x = 78,914,977.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.