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Finding the Third Proportional to 36,816,801 and 57,628,849.50

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Solution

The third proportional to 36,816,801 and 57,628,849.50 is: 90,205,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,816,801 : 57,628,849.50 = 57,628,849.50 : x
  2. Step 2: Convert to fraction form
    36,816,801/57,628,849.50 = 57,628,849.50/x
  3. Step 3: Cross multiply
    36,816,801x = 57,628,849.50 × 57,628,849.50
  4. Step 4: Simplify right side
    36,816,801x = 3,321,084,294,693,650
  5. Step 5: Solve for x
    x = 3,321,084,294,693,650/36,816,801
  6. Step 6: Final answer
    x = 90,205,672.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.