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Finding the Third Proportional to 15,589,862,640 and 36,789,285,672

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Solution

The third proportional to 15,589,862,640 and 36,789,285,672 is: 86,816,129,911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589,862,640 : 36,789,285,672 = 36,789,285,672 : x
  2. Step 2: Convert to fraction form
    15,589,862,640/36,789,285,672 = 36,789,285,672/x
  3. Step 3: Cross multiply
    15,589,862,640x = 36,789,285,672 × 36,789,285,672
  4. Step 4: Simplify right side
    15,589,862,640x = 1,353,451,540,256,024,428,544
  5. Step 5: Solve for x
    x = 1,353,451,540,256,024,428,544/15,589,862,640
  6. Step 6: Final answer
    x = 86,816,129,911.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.