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Finding the Third Proportional to 15,589,862,664 and 36,789,285,732

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Solution

The third proportional to 15,589,862,664 and 36,789,285,732 is: 86,816,130,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589,862,664 : 36,789,285,732 = 36,789,285,732 : x
  2. Step 2: Convert to fraction form
    15,589,862,664/36,789,285,732 = 36,789,285,732/x
  3. Step 3: Cross multiply
    15,589,862,664x = 36,789,285,732 × 36,789,285,732
  4. Step 4: Simplify right side
    15,589,862,664x = 1,353,451,544,670,738,841,600
  5. Step 5: Solve for x
    x = 1,353,451,544,670,738,841,600/15,589,862,664
  6. Step 6: Final answer
    x = 86,816,130,060.99

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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.