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Finding the Third Proportional to 37,780,724,100 and 82,678,541,064

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Solution

The third proportional to 37,780,724,100 and 82,678,541,064 is: 180,931,978,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780,724,100 : 82,678,541,064 = 82,678,541,064 : x
  2. Step 2: Convert to fraction form
    37,780,724,100/82,678,541,064 = 82,678,541,064/x
  3. Step 3: Cross multiply
    37,780,724,100x = 82,678,541,064 × 82,678,541,064
  4. Step 4: Simplify right side
    37,780,724,100x = 6,835,741,152,471,534,272,512
  5. Step 5: Solve for x
    x = 6,835,741,152,471,534,272,512/37,780,724,100
  6. Step 6: Final answer
    x = 180,931,978,285.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.